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23122613241 = 357133759479
BaseRepresentation
bin10101100010001101…
…110001001111111001
32012200110021110100000
4111202031301033321
5334323342110431
614342233503213
71445666653410
oct254215611771
965613243300
1023122613241
119896126622
124593871b09
1322465bc690
141194cc8477
15904e7e9e6
hex5623713f9

23122613241 has 192 divisors, whose sum is σ = 44616499200. Its totient is φ = 11641418496.

The previous prime is 23122613237. The next prime is 23122613251. The reversal of 23122613241 is 14231622132.

23122613241 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 2 + 613 + 2 + 41 = 666.

It is not a de Polignac number, because 23122613241 - 22 = 23122613237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23122613221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48272440 + ... + 48272918.

It is an arithmetic number, because the mean of its divisors is an integer number (232377600).

Almost surely, 223122613241 is an apocalyptic number.

23122613241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23122613241 is a deficient number, since it is larger than the sum of its proper divisors (21493885959).

23122613241 is a wasteful number, since it uses less digits than its factorization.

23122613241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The spelling of 23122613241 in words is "twenty-three billion, one hundred twenty-two million, six hundred thirteen thousand, two hundred forty-one".