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211221202202120 = 235114710213791209
BaseRepresentation
bin110000000001101011000100…
…101110011110111000001000
31000200212112211202020212220102
4300001223010232132320020
5210141122010230431440
62025121403011544532
762330141203301405
oct6001530456367010
91020775752225812
10211221202202120
1161335455132750
121b8341012bb148
1390b20c6492616
143a232370a72ac
15196453525bb15
hexc01ac4b9ee08

211221202202120 has 64 divisors (see below), whose sum is σ = 529482936326400. Its totient is φ = 75173503290880.

The previous prime is 211221202202081. The next prime is 211221202202137. The reversal of 211221202202120 is 21202202122112.

It is a super-2 number, since 2×2112212022021202 (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 = 211221202202092 and 211221202202101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5106874925 + ... + 5106916284.

It is an arithmetic number, because the mean of its divisors is an integer number (8273170880100).

Almost surely, 2211221202202120 is an apocalyptic number.

211221202202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221202202120 is an abundant number, since it is smaller than the sum of its proper divisors (318261734124280).

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

211221202202120 is a wasteful number, since it uses less digits than its factorization.

211221202202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10213791278 (or 10213791274 counting only the distinct ones).

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

Adding to 211221202202120 its reverse (21202202122112), we get a palindrome (232423404324232).

The spelling of 211221202202120 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2585 4136 5170 10340 20680 10213791209 20427582418 40855164836 51068956045 81710329672 102137912090 112351703299 204275824180 224703406598 408551648360 449406813196 480048186823 561758516495 898813626392 960096373646 1123517032990 1920192747292 2247034065980 2400240934115 3840385494584 4494068131960 4800481868230 5280530055053 9600963736460 10561060110106 19201927472920 21122120220212 26402650275265 42244240440424 52805300550530 105610601101060 211221202202120