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133223120031 = 33141731094391
BaseRepresentation
bin111110000010010110…
…1110111110010011111
3110201212112210201002210
41330010231313302133
54140320104320111
6141111333451503
712424251556521
oct1740455676237
9421775721083
10133223120031
1151554a839a1
12219a01a0b93
13c741879951
14663b591a11
1536eaccc0a6
hex1f04b77c9f

133223120031 has 64 divisors (see below), whose sum is σ = 192196730880. Its totient is φ = 81927936000.

The previous prime is 133223120027. The next prime is 133223120077. The reversal of 133223120031 is 130021322331.

It is not a de Polignac number, because 133223120031 - 22 = 133223120027 is a prime.

It is a super-2 number, since 2×1332231200312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133223120831) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 30337846 + ... + 30342236.

It is an arithmetic number, because the mean of its divisors is an integer number (3003073920).

Almost surely, 2133223120031 is an apocalyptic number.

133223120031 is a deficient number, since it is larger than the sum of its proper divisors (58973610849).

133223120031 is a wasteful number, since it uses less digits than its factorization.

133223120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133223120031 its reverse (130021322331), we get a palindrome (263244442362).

The spelling of 133223120031 in words is "one hundred thirty-three billion, two hundred twenty-three million, one hundred twenty thousand, thirty-one".

Divisors: 1 3 31 41 73 93 109 123 219 327 1271 2263 2993 3379 3813 4391 4469 6789 7957 8979 10137 13173 13407 23871 92783 136121 138539 180031 246667 278349 320543 326237 408363 415617 478619 540093 740001 961629 978711 1435857 5580961 9936833 10113347 13142263 14837189 16742883 19623379 29810499 30340041 34939187 39426789 44511567 58870137 104817561 407410153 608324749 1083114797 1222230459 1432506667 1824974247 3249344391 4297520001 44407706677 133223120031