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10131543153 = 332912939391
BaseRepresentation
bin10010110111110001…
…10001010001110001
3222011002021201102000
421123320301101301
5131222133340103
64353202044213
7506032460454
oct113370612161
928132251360
1010131543153
114329aa0366
121b69049669
13c56026464
146c180549b
153e46e3aa3
hex25be31471

10131543153 has 16 divisors (see below), whose sum is σ = 15527270400. Its totient is φ = 6521452560.

The previous prime is 10131543151. The next prime is 10131543157. The reversal of 10131543153 is 35134513101.

It is a happy number.

10131543153 is a `hidden beast` number, since 101 + 3 + 1 + 543 + 15 + 3 = 666.

10131543153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10131543153 - 21 = 10131543151 is a prime.

It is a super-2 number, since 2×101315431532 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10131543151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6468913 + ... + 6470478.

It is an arithmetic number, because the mean of its divisors is an integer number (970454400).

Almost surely, 210131543153 is an apocalyptic number.

It is an amenable number.

10131543153 is a deficient number, since it is larger than the sum of its proper divisors (5395727247).

10131543153 is a wasteful number, since it uses less digits than its factorization.

10131543153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12939429 (or 12939423 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 10131543153 in words is "ten billion, one hundred thirty-one million, five hundred forty-three thousand, one hundred fifty-three".

Divisors: 1 3 9 27 29 87 261 783 12939391 38818173 116454519 349363557 375242339 1125727017 3377181051 10131543153