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122023312131 = 3723373677309
BaseRepresentation
bin111000110100100100…
…1111111101100000011
3102122222000101111221210
41301221021333230003
53444400431442011
6132020131021203
711546565016410
oct1615111775403
9378860344853
10122023312131
1147827a84506
121b79543a803
13b678434596
145c97d4d107
1532929206a6
hex1c6927fb03

122023312131 has 32 divisors (see below), whose sum is σ = 194545105920. Its totient is φ = 66517064064.

The previous prime is 122023312097. The next prime is 122023312183. The reversal of 122023312131 is 131213320221.

It is not a de Polignac number, because 122023312131 - 27 = 122023312003 is a prime.

It is a super-2 number, since 2×1220233121312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 122023312098 and 122023312107.

It is not an unprimeable number, because it can be changed into a prime (122023312031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158496 + ... + 518813.

It is an arithmetic number, because the mean of its divisors is an integer number (6079534560).

Almost surely, 2122023312131 is an apocalyptic number.

122023312131 is a deficient number, since it is larger than the sum of its proper divisors (72521793789).

122023312131 is a wasteful number, since it uses less digits than its factorization.

122023312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677715.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122023312131 its reverse (131213320221), we get a palindrome (253236632352).

The spelling of 122023312131 in words is "one hundred twenty-two billion, twenty-three million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 7 21 23 69 161 373 483 1119 2611 7833 8579 25737 60053 180159 677309 2031927 4741163 14223489 15578107 46734321 109046749 252636257 327140247 757908771 1768453799 5305361397 5810633911 17431901733 40674437377 122023312131