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21010121112222 = 236116192116351
BaseRepresentation
bin1001100011011110011001…
…10011100011101010011110
32202101112210110112201000000
410301233030303203222132
510223212212001042342
6112403525535115130
74265634246555504
oct461571463435236
982345713481000
1021010121112222
1167703846a9390
122433a9b072aa6
13b95327392c78
14528c76952674
152667c4e3044c
hex131bccce3a9e

21010121112222 has 112 divisors (see below), whose sum is σ = 51630015467520. Its totient is φ = 6356414898000.

The previous prime is 21010121112203. The next prime is 21010121112263. The reversal of 21010121112222 is 22221112101012.

21010121112222 is a `hidden beast` number, since 210 + 1 + 0 + 121 + 112 + 222 = 666.

It is a super-2 number, since 2×210101211122222 (a number of 27 digits) contains 22 as substring.

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 = 21010121112195 and 21010121112204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8869347 + ... + 10985697.

It is an arithmetic number, because the mean of its divisors is an integer number (460982280960).

Almost surely, 221010121112222 is an apocalyptic number.

21010121112222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21010121112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25815007733760).

21010121112222 is an abundant number, since it is smaller than the sum of its proper divisors (30619894355298).

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

21010121112222 is a wasteful number, since it uses less digits than its factorization.

21010121112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117001 (or 2116986 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21010121112222 its reverse (22221112101012), we get a palindrome (43231233213234).

The spelling of 21010121112222 in words is "twenty-one trillion, ten billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 619 729 891 1238 1458 1782 1857 2673 3714 5346 5571 6809 8019 11142 13618 16038 16713 20427 33426 40854 50139 61281 100278 122562 150417 183843 300834 367686 451251 551529 902502 1103058 1654587 2116351 3309174 4232702 4963761 6349053 9927522 12698106 19047159 23279861 38094318 46559722 57141477 69839583 114282954 139679166 171424431 209518749 342848862 419037498 514273293 628556247 1028546586 1257112494 1310021269 1542819879 1885668741 2620042538 3085639758 3771337482 3930063807 5657006223 7860127614 11314012446 11790191421 14410233959 16971018669 23580382842 28820467918 33942037338 35370574263 43230701877 70741148526 86461403754 106111722789 129692105631 212223445578 259384211262 318335168367 389076316893 636670336734 778152633786 955005505101 1167228950679 1910011010202 2334457901358 3501686852037 7003373704074 10505060556111 21010121112222