Search a number
-
+
106942114180 = 22511486100519
BaseRepresentation
bin110001110011000111…
…1110010100110000100
3101020000222110021121201
41203212033302212010
53223004140123210
6121043432352244
710504060654306
oct1434617624604
9336028407551
10106942114180
1141399043250
1218886845684
13a113b28b05
14526702d976
152bad91c53a
hex18e63f2984

106942114180 has 24 divisors (see below), whose sum is σ = 244994662080. Its totient is φ = 38888041440.

The previous prime is 106942114129. The next prime is 106942114249. The reversal of 106942114180 is 81411249601.

It is a super-2 number, since 2×1069421141802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243050040 + ... + 243050479.

It is an arithmetic number, because the mean of its divisors is an integer number (10208110920).

Almost surely, 2106942114180 is an apocalyptic number.

106942114180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106942114180 is an abundant number, since it is smaller than the sum of its proper divisors (138052547900).

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

106942114180 is a wasteful number, since it uses less digits than its factorization.

106942114180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486100539 (or 486100537 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

It can be divided in two parts, 106942 and 114180, that added together give a palindrome (221122).

The spelling of 106942114180 in words is "one hundred six billion, nine hundred forty-two million, one hundred fourteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 486100519 972201038 1944402076 2430502595 4861005190 5347105709 9722010380 10694211418 21388422836 26735528545 53471057090 106942114180