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1022102212122 = 2332315140113591
BaseRepresentation
bin11101101111110100000…
…10100000111000011010
310121201020001122010122000
432313322002200320122
5113221231131241442
62101314113341430
7133562434312155
oct16677202407032
93551201563560
101022102212122
11364520064002
1214610bb67876
13754cb357174
14376819d2c9c
151b8c1d34d4c
hexedfa0a0e1a

1022102212122 has 128 divisors (see below), whose sum is σ = 2391913635840. Its totient is φ = 322898400000.

The previous prime is 1022102212091. The next prime is 1022102212133. The reversal of 1022102212122 is 2212122012201.

It is a happy number.

1022102212122 is a `hidden beast` number, since 10 + 221 + 0 + 221 + 212 + 2 = 666.

1022102212122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1022102212095 and 1022102212104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75197547 + ... + 75211137.

It is an arithmetic number, because the mean of its divisors is an integer number (18686825280).

Almost surely, 21022102212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022102212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195956817920).

1022102212122 is an abundant number, since it is smaller than the sum of its proper divisors (1369811423718).

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

1022102212122 is a wasteful number, since it uses less digits than its factorization.

1022102212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14177 (or 14171 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022102212122 its reverse (2212122012201), we get a palindrome (3234224224323).

The spelling of 1022102212122 in words is "one trillion, twenty-two billion, one hundred two million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 151 207 302 401 414 453 621 802 906 1203 1242 1359 2406 2718 3473 3609 4077 6946 7218 8154 9223 10419 10827 13591 18446 20838 21654 27182 27669 31257 40773 55338 60551 62514 81546 83007 93771 121102 122319 166014 181653 187542 244638 249021 312593 363306 366957 498042 544959 625186 733914 937779 1089918 1392673 1634877 1875558 2052241 2785346 2813337 3269754 4104482 4178019 5449991 5626674 6156723 8356038 8440011 10899982 12313446 12534057 16349973 16880022 18470169 25068114 32699946 36940338 37602171 47201543 49049919 55410507 75204342 94403086 98099838 110821014 125349793 141604629 147149757 250699586 283209258 294299514 376049379 424813887 752098758 822948641 849627774 1128148137 1274441661 1645897282 2256296274 2468845923 2548883322 3384444411 4937691846 6768888822 7406537769 14813075538 18927818743 22219613307 37855637486 44439226614 56783456229 113566912458 170350368687 340700737374 511051106061 1022102212122