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10133211322212 = 223113716631247611
BaseRepresentation
bin1001001101110101001001…
…1101100001011101100100
31022212201120220211120100220
42103131102131201131210
52312010304044302322
633315044422004340
72064046265036136
oct223352235413544
938781526746326
1010133211322212
11325751a68a050
121177a73b766b0
135867334341c4
14270642ccd056
151288c4b8e55c
hex93752761764

10133211322212 has 96 divisors (see below), whose sum is σ = 26506704666624. Its totient is φ = 2985880060800.

The previous prime is 10133211322189. The next prime is 10133211322231. The reversal of 10133211322212 is 21222311233101.

10133211322212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7498287 + ... + 8745897.

It is an arithmetic number, because the mean of its divisors is an integer number (276111506944).

Almost surely, 210133211322212 is an apocalyptic number.

10133211322212 is a gapful number since it is divisible by the number (12) 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 10133211322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253352333312).

10133211322212 is an abundant number, since it is smaller than the sum of its proper divisors (16373493344412).

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

10133211322212 is a wasteful number, since it uses less digits than its factorization.

10133211322212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249329 (or 1249327 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10133211322212 its reverse (21222311233101), we get a palindrome (31355522555313).

The spelling of 10133211322212 in words is "ten trillion, one hundred thirty-three billion, two hundred eleven million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 1663 2442 3326 4884 4989 6652 9978 18293 19956 36586 54879 61531 73172 109758 123062 184593 219516 246124 369186 676841 738372 1247611 1353682 2030523 2495222 2707364 3742833 4061046 4990444 7485666 8122092 13723721 14971332 27447442 41171163 46161607 54894884 82342326 92323214 138484821 164684652 184646428 276969642 507777677 553939284 1015555354 1523333031 2031110708 2074777093 3046666062 4149554186 6093332124 6224331279 8299108372 12448662558 22822548023 24897325116 45645096046 68467644069 76766752441 91290192092 136935288138 153533504882 230300257323 273870576276 307067009764 460600514646 844434276851 921201029292 1688868553702 2533302830553 3377737107404 5066605661106 10133211322212