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221131112111334 = 232891494523204821
BaseRepresentation
bin110010010001111000011001…
…011000101101110011100110
31001222221221001102002100021200
4302101320121120231303212
5212441003004200030314
62102150121441423330
764402124046551055
oct6221703130556346
91058857042070250
10221131112111334
11645061a5a02087
122097483603ab46
139650760c444c9
143c86b3536639c
151a871dae79709
hexc91e1962dce6

221131112111334 has 96 divisors (see below), whose sum is σ = 487862654292000. Its totient is φ = 72376663349760.

The previous prime is 221131112111323. The next prime is 221131112111401. The reversal of 221131112111334 is 433111211131122.

221131112111334 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 3 + 111 + 211 + 1 + 334 = 666.

221131112111334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2211311121113342 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221131112111298 and 221131112111307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1079528644 + ... + 1079733464.

It is an arithmetic number, because the mean of its divisors is an integer number (5081902648875).

Almost surely, 2221131112111334 is an apocalyptic number.

221131112111334 is an abundant number, since it is smaller than the sum of its proper divisors (266731542180666).

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

221131112111334 is a wasteful number, since it uses less digits than its factorization.

221131112111334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209590 (or 209587 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

Adding to 221131112111334 its reverse (433111211131122), we get a palindrome (654242323242456).

The spelling of 221131112111334 in words is "two hundred twenty-one trillion, one hundred thirty-one billion, one hundred twelve million, one hundred eleven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 89 149 178 267 298 447 534 801 894 1341 1602 2682 4523 9046 13261 13569 26522 27138 39783 40707 79566 81414 119349 204821 238698 402547 409642 614463 673927 805094 1207641 1228926 1347854 1843389 2021781 2415282 3622923 3686778 4043562 6065343 7245846 12130686 18229069 30518329 36458138 54687207 59979503 61036658 91554987 109374414 119959006 164061621 179938509 183109974 274664961 328123242 359877018 539815527 549329922 926405383 1079631054 1852810766 2716131281 2779216149 5432262562 5558432298 8148393843 8337648447 16296787686 16675296894 24445181529 48890363058 82450079087 138034402067 164900158174 247350237261 276068804134 414103206201 494700474522 742050711783 828206412402 1242309618603 1484101423566 2484619237206 12285061783963 24570123567926 36855185351889 73710370703778 110565556055667 221131112111334