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21121101022220 = 22541257988310141
BaseRepresentation
bin1001100110101101000111…
…01110010100010000001100
32202210011020211211021011222
410303112203232110100030
510232022003330202340
6112530522211502512
74306643400334433
oct463264356242014
982704224737158
1021121101022220
1168034549a0371
1224514b1bb7a38
13ba29328b4974
145303a3d3411a
1526961d08b8b5
hex1335a3b9440c

21121101022220 has 96 divisors (see below), whose sum is σ = 45622032515136. Its totient is φ = 8208669081600.

The previous prime is 21121101022169. The next prime is 21121101022223. The reversal of 21121101022220 is 2222010112112.

It is a super-2 number, since 2×211211010222202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121101022223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2082738350 + ... + 2082748490.

It is an arithmetic number, because the mean of its divisors is an integer number (475229505366).

Almost surely, 221121101022220 is an apocalyptic number.

21121101022220 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 21121101022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22811016257568).

21121101022220 is an abundant number, since it is smaller than the sum of its proper divisors (24500931492916).

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

21121101022220 is a wasteful number, since it uses less digits than its factorization.

21121101022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20331 (or 20329 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21121101022220 its reverse (2222010112112), we get a palindrome (23343111134332).

The spelling of 21121101022220 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 257 410 514 820 1028 1285 2570 5140 9883 10141 10537 19766 20282 21074 39532 40564 42148 49415 50705 52685 98830 101410 105370 197660 202820 210740 405203 415781 810406 831562 1620812 1663124 2026015 2078905 2539931 2606237 4052030 4157810 5079862 5212474 8104060 8315620 10159724 10424948 12699655 13031185 25399310 26062370 50798620 52124740 100223503 104137171 106855717 200447006 208274342 213711434 400894012 416548684 427422868 501117515 520685855 534278585 1002235030 1041371710 1068557170 2004470060 2082743420 2137114340 4109163623 8218327246 16436654492 20545818115 25757440271 41091636230 51514880542 82183272460 103029761084 128787201355 257574402710 515148805420 1056055051111 2112110102222 4224220204444 5280275255555 10560550511110 21121101022220