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101400122515131 = 3311341414553923
BaseRepresentation
bin10111000011100100001110…
…010010000101111010111011
3111022000202102212211201221000
4113003210032102011322323
5101242314422330441011
6555354323451220043
730233626364150256
oct2703441622057273
9438022385751830
10101400122515131
112a344606733940
12b458033a47623
134476cb524777b
141b07b137d009d
15bac9b3580356
hex5c390e485ebb

101400122515131 has 16 divisors (see below), whose sum is σ = 163878985883520. Its totient is φ = 61454619705960.

The previous prime is 101400122515123. The next prime is 101400122515141. The reversal of 101400122515131 is 131515221004101.

101400122515131 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 0 + 12 + 2 + 515 + 131 = 666.

101400122515131 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 101400122515131 - 23 = 101400122515123 is a prime.

It is a super-2 number, since 2×1014001225151312 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101400122515095 and 101400122515104.

It is not an unprimeable number, because it can be changed into a prime (101400122515141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170707276665 + ... + 170707277258.

It is an arithmetic number, because the mean of its divisors is an integer number (10242436617720).

Almost surely, 2101400122515131 is an apocalyptic number.

101400122515131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101400122515131 is a deficient number, since it is larger than the sum of its proper divisors (62478863368389).

101400122515131 is a wasteful number, since it uses less digits than its factorization.

101400122515131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341414553943 (or 341414553937 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 101400122515131 its reverse (131515221004101), we get a palindrome (232915343519232).

The spelling of 101400122515131 in words is "one hundred one trillion, four hundred billion, one hundred twenty-two million, five hundred fifteen thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 341414553923 1024243661769 3072730985307 3755560093153 9218192955921 11266680279459 33800040838377 101400122515131