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10154242331 = 231036176947
BaseRepresentation
bin10010111010011110…
…10111000100011011
3222012122222221211022
421131033113010123
5131243441223311
64355332353055
7506426431022
oct113517270433
928178887738
1010154242331
114340894612
121b7477578b
13c5a94331c
146c48338b9
153e66c95db
hex25d3d711b

10154242331 has 16 divisors (see below), whose sum is σ = 10717484544. Its totient is φ = 9601483584.

The previous prime is 10154242321. The next prime is 10154242349. The reversal of 10154242331 is 13324245101.

It is a happy number.

It is not a de Polignac number, because 10154242331 - 214 = 10154225947 is a prime.

It is a super-2 number, since 2×101542423312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10154242331.

It is not an unprimeable number, because it can be changed into a prime (10154242321) 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, 1458200 + ... + 1465146.

It is an arithmetic number, because the mean of its divisors is an integer number (669842784).

Almost surely, 210154242331 is an apocalyptic number.

10154242331 is a deficient number, since it is larger than the sum of its proper divisors (563242213).

10154242331 is a wasteful number, since it uses less digits than its factorization.

10154242331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7690.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 10154242331 its reverse (13324245101), we get a palindrome (23478487432).

The spelling of 10154242331 in words is "ten billion, one hundred fifty-four million, two hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 23 103 617 2369 6947 14191 63551 159781 715541 1461673 4286299 16457443 98584877 441488797 10154242331