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211021011201220 = 225112274319803923
BaseRepresentation
bin101111111110110000101000…
…011010011010110011000100
31000200011102010002120100102121
4233332300220122122303010
5210124332012331414340
62024445414140015324
762306523243000433
oct5776605032326304
91020142102510377
10211021011201220
1161268565575770
121b801351831544
13909927171a27c
143a176858a711a
15195e21a15994a
hexbfec2869acc4

211021011201220 has 96 divisors (see below), whose sum is σ = 486686238345216. Its totient is φ = 76219611196800.

The previous prime is 211021011201211. The next prime is 211021011201271. The reversal of 211021011201220 is 22102110120112.

It is a junction number, because it is equal to n+sod(n) for n = 211021011201194 and 211021011201203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16622179 + ... + 26426101.

It is an arithmetic number, because the mean of its divisors is an integer number (5069648316096).

Almost surely, 2211021011201220 is an apocalyptic number.

211021011201220 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 211021011201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243343119172608).

211021011201220 is an abundant number, since it is smaller than the sum of its proper divisors (275665227143996).

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

211021011201220 is a wasteful number, since it uses less digits than its factorization.

211021011201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9804601 (or 9804599 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211021011201220 its reverse (22102110120112), we get a palindrome (233123121321332).

The spelling of 211021011201220 in words is "two hundred eleven trillion, twenty-one billion, eleven million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 227 431 454 862 908 1135 1724 2155 2270 2497 4310 4540 4741 4994 8620 9482 9988 12485 18964 23705 24970 47410 49940 94820 97837 195674 391348 489185 978370 1076207 1956740 2152414 4304828 5381035 9803923 10762070 19607846 21524140 39215692 49019615 98039230 107843153 196078460 215686306 431372612 539215765 1078431530 2156863060 2225490521 4225490813 4450981042 8450981626 8901962084 11127452605 16901963252 21127454065 22254905210 24480395731 42254908130 44509810420 46480398943 48960791462 84509816260 92960797886 97921582924 122401978655 185921595772 232401994715 244803957310 464803989430 489607914620 929607978860 959186414551 1918372829102 3836745658204 4795932072755 9591864145510 10551050560061 19183728291020 21102101120122 42204202240244 52755252800305 105510505600610 211021011201220