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221211012210112 = 2631139971826097
BaseRepresentation
bin110010010011000010110011…
…110011011001110111000000
31002000020120021210012220120101
4302103002303303121313000
5212443310123111210422
62102250534110052144
764410653046311341
oct6223026363316700
91060216253186511
10221211012210112
1164537077484971
12209882144aa054
13965815546b772
143c8a954b380c8
151a893157b2c27
hexc930b3cd9dc0

221211012210112 has 112 divisors (see below), whose sum is σ = 456856249973760. Its totient is φ = 106157962137600.

The previous prime is 221211012210101. The next prime is 221211012210193. The reversal of 221211012210112 is 211012210112122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 221211012210112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267365448 + ... + 268191544.

It is an arithmetic number, because the mean of its divisors is an integer number (4079073660480).

Almost surely, 2221211012210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221211012210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228428124986880).

221211012210112 is an abundant number, since it is smaller than the sum of its proper divisors (235645237763648).

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

221211012210112 is a wasteful number, since it uses less digits than its factorization.

221211012210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827250 (or 827240 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 221211012210112 its reverse (211012210112122), we get a palindrome (432223222322234).

The spelling of 221211012210112 in words is "two hundred twenty-one trillion, two hundred eleven billion, twelve million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 139 248 278 496 556 971 992 1112 1942 1984 2224 3884 4309 4448 7768 8618 8896 15536 17236 30101 31072 34472 60202 62144 68944 120404 134969 137888 240808 269938 275776 481616 539876 826097 963232 1079752 1652194 1926464 2159504 3304388 4184039 4319008 6608776 8368078 8638016 13217552 16736156 25609007 26435104 33472312 51218014 52870208 66944624 102436028 114827483 133889248 204872056 229654966 267778496 409744112 459309932 802140187 819488224 918619864 1604280374 1638976448 1837239728 3208560748 3559651973 3674479456 6417121496 7119303946 7348958912 12834242992 14238607892 24866345797 25668485984 28477215784 49732691594 51336971968 56954431568 99465383188 111497485993 113908863136 198930766376 222994971986 227817726272 397861532752 445989943972 795723065504 891979887944 1591446131008 1783959775888 3456422065783 3567919551776 6912844131566 7135839103552 13825688263132 27651376526264 55302753052528 110605506105056 221211012210112