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10120031431 = 3710110725309
BaseRepresentation
bin10010110110011001…
…10110110011000111
3222010021121212021221
421123030312303013
5131211212001211
64352111221211
7505532563546
oct113314666307
928107555257
1010120031431
114323548444
121b65217807
13c538257a3
146c008a15d
153e36bcc71
hex25b336cc7

10120031431 has 16 divisors (see below), whose sum is σ = 10594968480. Its totient is φ = 9657532800.

The previous prime is 10120031419. The next prime is 10120031447. The reversal of 10120031431 is 13413002101.

It is not a de Polignac number, because 10120031431 - 213 = 10120023239 is a prime.

It is a super-2 number, since 2×101200314312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120631431) 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 15 ways as a sum of consecutive naturals, for example, 387205 + ... + 412513.

It is an arithmetic number, because the mean of its divisors is an integer number (662185530).

Almost surely, 210120031431 is an apocalyptic number.

10120031431 is a deficient number, since it is larger than the sum of its proper divisors (474937049).

10120031431 is a wasteful number, since it uses less digits than its factorization.

10120031431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25554.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10120031431 its reverse (13413002101), we get a palindrome (23533033532).

The spelling of 10120031431 in words is "ten billion, one hundred twenty million, thirty-one thousand, four hundred thirty-one".

Divisors: 1 37 101 107 3737 3959 10807 25309 399859 936433 2556209 2708063 94579733 100198331 273514363 10120031431