Search a number
-
+
100506101105918 = 22329167451149131
BaseRepresentation
bin10110110110100011100110…
…011101000100010011111110
3111011212021210222211112110002
4112312203212131010103332
5101133142443340342133
6553431510533514302
730112216610436464
oct2666434635042376
9434767728745402
10100506101105918
112a02a441981872
12b332909aa2992
1344108b929c761
141ab6742442834
15b945dad5cce8
hex5b68e67444fe

100506101105918 has 32 divisors (see below), whose sum is σ = 163712997020160. Its totient is φ = 46132705437280.

The previous prime is 100506101105873. The next prime is 100506101105951. The reversal of 100506101105918 is 819501101605001.

It is a happy number.

It is a super-2 number, since 2×1005061011059182 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225351788 + ... + 225797343.

It is an arithmetic number, because the mean of its divisors is an integer number (5116031156880).

Almost surely, 2100506101105918 is an apocalyptic number.

100506101105918 is a deficient number, since it is larger than the sum of its proper divisors (63206895914242).

100506101105918 is a wasteful number, since it uses less digits than its factorization.

100506101105918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451149352.

The product of its (nonzero) digits is 10800, while the sum is 38.

The spelling of 100506101105918 in words is "one hundred trillion, five hundred six billion, one hundred one million, one hundred five thousand, nine hundred eighteen".

Divisors: 1 2 23 29 46 58 167 334 667 1334 3841 4843 7682 9686 111389 222778 451149131 902298262 10376430013 13083324799 20752860026 26166649598 75341904877 150683809754 300916470377 601832940754 1732863812171 2184915241433 3465727624342 4369830482866 50253050552959 100506101105918