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103222312133031 = 32713126034569149
BaseRepresentation
bin10111011110000101010001…
…001111110110000110100111
3111112110221211102002021201200
4113132011101033312012213
5102012143243401224111
61003311401530453543
730512365056304020
oct2736052117660647
9445427742067650
10103222312133031
112a987378220913
12b6b12135942b3
134579a8c6a24a0
141b6bdb51bbc47
15be00b11c0256
hex5de1513f61a7

103222312133031 has 24 divisors (see below), whose sum is σ = 183506332682400. Its totient is φ = 54446933871936.

The previous prime is 103222312133029. The next prime is 103222312133041. The reversal of 103222312133031 is 130331213222301.

103222312133031 is a `hidden beast` number, since 1 + 0 + 32 + 2 + 2 + 312 + 13 + 303 + 1 = 666.

It is not a de Polignac number, because 103222312133031 - 21 = 103222312133029 is a prime.

It is a super-2 number, since 2×1032223121330312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103222312132986 and 103222312133004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103222312133041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63017283756 + ... + 63017285393.

It is an arithmetic number, because the mean of its divisors is an integer number (7646097195100).

Almost surely, 2103222312133031 is an apocalyptic number.

103222312133031 is a deficient number, since it is larger than the sum of its proper divisors (80284020549369).

103222312133031 is a wasteful number, since it uses less digits than its factorization.

103222312133031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126034569175 (or 126034569172 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103222312133031 its reverse (130331213222301), we get a palindrome (233553525355332).

The spelling of 103222312133031 in words is "one hundred three trillion, two hundred twenty-two billion, three hundred twelve million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 126034569149 378103707447 882241984043 1134311122341 1638449398937 2646725952129 4915348196811 7940177856387 11469145792559 14746044590433 34407437377677 103222312133031