Search a number
-
+
131123400123 = 33736711292851
BaseRepresentation
bin111101000011110010…
…0000100110110111011
3110112110012210212212210
41322013210010312323
54122020042300443
6140123125310203
712321234340242
oct1720744046673
9415405725783
10131123400123
1150677817291
12214b4b65363
13c498859431
1464bc779959
1536267bcc33
hex1e87904dbb

131123400123 has 32 divisors (see below), whose sum is σ = 180268303360. Its totient is φ = 84716409600.

The previous prime is 131123400073. The next prime is 131123400127. The reversal of 131123400123 is 321004321131.

It is not a de Polignac number, because 131123400123 - 28 = 131123399867 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131123400123.

It is not an unprimeable number, because it can be changed into a prime (131123400127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45990648 + ... + 45993498.

It is an arithmetic number, because the mean of its divisors is an integer number (5633384480).

Almost surely, 2131123400123 is an apocalyptic number.

131123400123 is a deficient number, since it is larger than the sum of its proper divisors (49144903237).

131123400123 is a wasteful number, since it uses less digits than its factorization.

131123400123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131123400123 its reverse (321004321131), we get a palindrome (452127721254).

The spelling of 131123400123 in words is "one hundred thirty-one billion, one hundred twenty-three million, four hundred thousand, one hundred twenty-three".

Divisors: 1 3 37 111 367 1101 1129 2851 3387 8553 13579 40737 41773 105487 125319 316461 414343 1046317 1243029 3138951 3218779 9656337 15330691 38713729 45992073 116141187 119094823 357284469 1181291893 3543875679 43707800041 131123400123