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10154242431 = 331312870863
BaseRepresentation
bin10010111010011110…
…10111000101111111
3222012122222221222000
421131033113011333
5131243441224211
64355332353343
7506426431224
oct113517270577
928178887860
1010154242431
1143408946a3
121b74775853
13c5a943398
146c483394b
153e66c9656
hex25d3d717f

10154242431 has 16 divisors (see below), whose sum is σ = 15158161920. Its totient is φ = 6717817080.

The previous prime is 10154242421. The next prime is 10154242471. The reversal of 10154242431 is 13424245101.

Adding to 10154242431 its reverse (13424245101), we get a palindrome (23578487532).

It is not a de Polignac number, because 10154242431 - 27 = 10154242303 is a prime.

It is a super-2 number, since 2×101542424312 (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 junction number, because it is equal to n+sod(n) for n = 10154242395 and 10154242404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10154242421) 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, 1431895 + ... + 1438968.

It is an arithmetic number, because the mean of its divisors is an integer number (947385120).

Almost surely, 210154242431 is an apocalyptic number.

10154242431 is a deficient number, since it is larger than the sum of its proper divisors (5003919489).

10154242431 is a wasteful number, since it uses less digits than its factorization.

10154242431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871003 (or 2870997 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 10154242431 in words is "ten billion, one hundred fifty-four million, two hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 27 131 393 1179 3537 2870863 8612589 25837767 77513301 376083053 1128249159 3384747477 10154242431