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211221222102020 = 2251322324763109721
BaseRepresentation
bin110000000001101011000101…
…111010011001010000000100
31000200212112220010200220102202
4300001223011322121100010
5210141122030324231040
62025121405002254032
762330141534402534
oct6001530572312004
91020775803626382
10211221222102020
1161335465394849
121b834107ab7318
1390b20ca63c300
143a232399a74c4
151964536d8d015
hexc01ac5e99404

211221222102020 has 144 divisors (see below), whose sum is σ = 501217392074112. Its totient is φ = 74594839587840.

The previous prime is 211221222102017. The next prime is 211221222102029. The reversal of 211221222102020 is 20201222122112.

It is a super-2 number, since 2×2112212221020202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211221222101983 and 211221222102001.

It is not an unprimeable number, because it can be changed into a prime (211221222102029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1925020760 + ... + 1925130480.

It is an arithmetic number, because the mean of its divisors is an integer number (3480676333848).

Almost surely, 2211221222102020 is an apocalyptic number.

211221222102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211221222102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250608696037056).

211221222102020 is an abundant number, since it is smaller than the sum of its proper divisors (289996169972092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211221222102020 is a wasteful number, since it uses less digits than its factorization.

211221222102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134542 (or 134527 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211221222102020 its reverse (20201222122112), we get a palindrome (231422444224132).

The spelling of 211221222102020 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 169 230 260 299 338 460 598 676 845 1196 1495 1690 2990 3380 3887 5980 7774 15548 19435 24763 38870 49526 77740 99052 109721 123815 219442 247630 321919 438884 495260 548605 569549 643838 1097210 1139098 1287676 1426373 1609595 2194420 2278196 2523583 2847745 2852746 3219190 4184947 5047166 5695490 5705492 6438380 7131865 7404137 8369894 10094332 11390980 12617915 14263730 14808274 16739788 18542849 20924735 25235830 28527460 29616548 32806579 37020685 37085698 41849470 50471660 65613158 74041370 74171396 83698940 92714245 96253781 131226316 148082740 164032895 185428490 192507562 328065790 370856980 385015124 426485527 481268905 656131580 852971054 962537810 1705942108 1925075620 2132427635 2717021123 4264855270 5434042246 8529710540 10868084492 13585105615 27170211230 35321274599 54340422460 62491485829 70642549198 124982971658 141285098396 176606372995 249965943316 312457429145 353212745990 459176569787 624914858290 706425491980 812389315777 918353139574 1249829716580 1624778631554 1836706279148 2295882848935 3249557263108 4061946578885 4591765697870 8123893157770 9183531395740 10561061105101 16247786315540 21122122210202 42244244420404 52805305525505 105610611051010 211221222102020