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10131114024 = 2332140709917
BaseRepresentation
bin10010110111101110…
…01000100000101000
3222011001110220202100
421123313020200220
5131222031122044
64353144533400
7506026022403
oct113367104050
928131426670
1010131114024
114329827a09
121b68a81260
13c55c06035
146c1732d3a
153e465b869
hex25bdc8828

10131114024 has 24 divisors (see below), whose sum is σ = 27438434010. Its totient is φ = 3377037984.

The previous prime is 10131114001. The next prime is 10131114047. The reversal of 10131114024 is 42041113101.

It is an interprime number because it is at equal distance from previous prime (10131114001) and next prime (10131114047).

It can be written as a sum of positive squares in only one way, i.e., 9676656900 + 454457124 = 98370^2 + 21318^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10131113988 and 10131114006.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70354887 + ... + 70355030.

Almost surely, 210131114024 is an apocalyptic number.

It is an amenable number.

10131114024 is an abundant number, since it is smaller than the sum of its proper divisors (17307319986).

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

10131114024 is a wasteful number, since it uses less digits than its factorization.

10131114024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140709929 (or 140709922 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10131114024 its reverse (42041113101), we get a palindrome (52172227125).

The spelling of 10131114024 in words is "ten billion, one hundred thirty-one million, one hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 140709917 281419834 422129751 562839668 844259502 1125679336 1266389253 1688519004 2532778506 3377038008 5065557012 10131114024