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122032131323130 = 23257193701795751
BaseRepresentation
bin11011101111110011010001…
…110101101011010011111010
3121000002011021001101012222100
4123233303101311223103322
5111443333301104320010
61111312442011404230
734463346655344150
oct3357632165532372
9530064231335870
10122032131323130
11359795998406a6
121182a789a53676
135312771790282
14221c55b0493d0
15e195084102c0
hex6efcd1d6b4fa

122032131323130 has 48 divisors (see below), whose sum is σ = 362609761647744. Its totient is φ = 27893058588000.

The previous prime is 122032131323119. The next prime is 122032131323147. The reversal of 122032131323130 is 31323131230221.

122032131323130 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 3 + 213 + 132 + 313 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122032131323094 and 122032131323103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96850897246 + ... + 96850898505.

It is an arithmetic number, because the mean of its divisors is an integer number (7554370034328).

Almost surely, 2122032131323130 is an apocalyptic number.

122032131323130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122032131323130 is an abundant number, since it is smaller than the sum of its proper divisors (240577630324614).

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

122032131323130 is a wasteful number, since it uses less digits than its factorization.

122032131323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193701795771 (or 193701795768 counting only the distinct ones).

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

Adding to 122032131323130 its reverse (31323131230221), we get a palindrome (153355262553351).

The spelling of 122032131323130 in words is "one hundred twenty-two trillion, thirty-two billion, one hundred thirty-one million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 193701795751 387403591502 581105387253 968508978755 1162210774506 1355912570257 1743316161759 1937017957510 2711825140514 2905526936265 3486632323518 4067737710771 5811053872530 6779562851285 8135475421542 8716580808795 12203213132313 13559125702570 17433161617590 20338688553855 24406426264626 40677377107710 61016065661565 122032131323130