Search a number
-
+
10400133102 = 2315711040481
BaseRepresentation
bin10011010111110010…
…10110111111101110
3222211210200111112220
421223321112333232
5132244413224402
64435554540210
7515503446522
oct115371267756
928753614486
1010400133102
114457670a27
122022b97666
13c99877518
1470935dd82
1540d09adbc
hex26be56fee

10400133102 has 16 divisors (see below), whose sum is σ = 20932753872. Its totient is φ = 3444629760.

The previous prime is 10400133101. The next prime is 10400133109. The reversal of 10400133102 is 20133100401.

It is a super-2 number, since 2×104001331022 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400133101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5519299 + ... + 5521182.

It is an arithmetic number, because the mean of its divisors is an integer number (1308297117).

Almost surely, 210400133102 is an apocalyptic number.

10400133102 is an abundant number, since it is smaller than the sum of its proper divisors (10532620770).

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

10400133102 is a wasteful number, since it uses less digits than its factorization.

10400133102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11040643.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10400133102 its reverse (20133100401), we get a palindrome (30533233503).

The spelling of 10400133102 in words is "ten billion, four hundred million, one hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 157 314 471 942 11040481 22080962 33121443 66242886 1733355517 3466711034 5200066551 10400133102