Search a number
-
+
100202131131 = 3232909499211
BaseRepresentation
bin101110101010010000…
…0110010111010111011
3100120122020222200000220
41131110200302322323
53120203221144011
6114010543231123
710145050030044
oct1352440627273
9316566880026
10100202131131
113954a544223
12175055a84a3
1395ab661a6b
144bc7c398cb
152916d65506
hex1754832ebb

100202131131 has 16 divisors (see below), whose sum is σ = 139459864320. Its totient is φ = 63874917920.

The previous prime is 100202131121. The next prime is 100202131147. The reversal of 100202131131 is 131131202001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100202131131 - 210 = 100202130107 is a prime.

It is a super-2 number, since 2×1002021311312 (a number of 23 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 100202131131.

It is not an unprimeable number, because it can be changed into a prime (100202131121) 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, 48885 + ... + 450326.

It is an arithmetic number, because the mean of its divisors is an integer number (8716241520).

Almost surely, 2100202131131 is an apocalyptic number.

100202131131 is a deficient number, since it is larger than the sum of its proper divisors (39257733189).

100202131131 is a wasteful number, since it uses less digits than its factorization.

100202131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502146.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100202131131 its reverse (131131202001), we get a palindrome (231333333132).

The spelling of 100202131131 in words is "one hundred billion, two hundred two million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 23 69 2909 8727 66907 200721 499211 1497633 11481853 34445559 1452204799 4356614397 33400710377 100202131131