Search a number
-
+
100213981672 = 23719472003959
BaseRepresentation
bin101110101010100111…
…0000000000111101000
3100120200002021201220211
41131111032000013220
53120214234403142
6114012045230504
710145252534530
oct1352516000750
9316602251824
10100213981672
11395561a8762
1217509562434
1395b0c50a0c
144bc96424c0
152917e06917
hex17553801e8

100213981672 has 64 divisors (see below), whose sum is σ = 230856192000. Its totient is φ = 39822653376.

The previous prime is 100213981669. The next prime is 100213981687. The reversal of 100213981672 is 276189312001.

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, 951972 + ... + 1051987.

It is an arithmetic number, because the mean of its divisors is an integer number (3607128000).

Almost surely, 2100213981672 is an apocalyptic number.

It is an amenable number.

100213981672 is an abundant number, since it is smaller than the sum of its proper divisors (130642210328).

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

100213981672 is a wasteful number, since it uses less digits than its factorization.

100213981672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004038 (or 2004034 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 100213981672 in words is "one hundred billion, two hundred thirteen million, nine hundred eighty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 19 28 38 47 56 76 94 133 152 188 266 329 376 532 658 893 1064 1316 1786 2632 3572 6251 7144 12502 25004 50008 2003959 4007918 8015836 14027713 16031672 28055426 38075221 56110852 76150442 94186073 112221704 152300884 188372146 266526547 304601768 376744292 533053094 659302511 753488584 1066106188 1318605022 1789535387 2132212376 2637210044 3579070774 5274420088 7158141548 12526747709 14316283096 25053495418 50106990836 100213981672