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123051412400031 = 32233119175847343
BaseRepresentation
bin11011111110101000100011…
…101110011010011110011111
3121010200121012111112211121200
4123332220203232122132133
5112112033243033300111
61113413012150330543
734630112465503323
oct3376504356323637
9533617174484550
10123051412400031
11362318a13a0a95
1211974231059a53
1353879104ca14b
142255a120b5983
15e35cb2733256
hex6fea23b9a79f

123051412400031 has 24 divisors (see below), whose sum is σ = 191451659882496. Its totient is φ = 75936355474320.

The previous prime is 123051412399943. The next prime is 123051412400039. The reversal of 123051412400031 is 130004214150321.

123051412400031 is a `hidden beast` number, since 1 + 23 + 0 + 514 + 124 + 0 + 0 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 123051412400031 - 210 = 123051412399007 is a prime.

It is a super-2 number, since 2×1230514124000312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123051412399968 and 123051412400004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123051412400039) 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, 9587917255 + ... + 9587930088.

It is an arithmetic number, because the mean of its divisors is an integer number (7977152495104).

Almost surely, 2123051412400031 is an apocalyptic number.

123051412400031 is a deficient number, since it is larger than the sum of its proper divisors (68400247482465).

123051412400031 is a wasteful number, since it uses less digits than its factorization.

123051412400031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19175847403 (or 19175847400 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 123051412400031 its reverse (130004214150321), we get a palindrome (253055626550352).

The spelling of 123051412400031 in words is "one hundred twenty-three trillion, fifty-one billion, four hundred twelve million, four hundred thousand, thirty-one".

Divisors: 1 3 9 23 31 69 93 207 279 713 2139 6417 19175847343 57527542029 172582626087 441044488889 594451267633 1323133466667 1783353802899 3969400400001 5350061408697 13672379155559 41017137466677 123051412400031