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100561374680 = 23513267222029
BaseRepresentation
bin101110110100111101…
…1001100110111011000
3100121120021222010112112
41131221323030313120
53121422202442210
6114110335131452
710160001403244
oct1355173146730
9317507863475
10100561374680
1139714302218
12175a5973b88
139637c03400
144c1d831424
152938677d05
hex1769eccdd8

100561374680 has 96 divisors (see below), whose sum is σ = 248664718800. Its totient is φ = 36576004608.

The previous prime is 100561374553. The next prime is 100561374713. The reversal of 100561374680 is 86473165001.

It is a super-2 number, since 2×1005613746802 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341906 + ... + 563934.

Almost surely, 2100561374680 is an apocalyptic number.

100561374680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100561374680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124332359400).

100561374680 is an abundant number, since it is smaller than the sum of its proper divisors (148103344120).

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

100561374680 is a wasteful number, since it uses less digits than its factorization.

100561374680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222133 (or 222116 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 100561374680 in words is "one hundred billion, five hundred sixty-one million, three hundred seventy-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 169 260 268 335 338 520 536 670 676 845 871 1340 1352 1690 1742 2680 3380 3484 4355 6760 6968 8710 11323 17420 22646 34840 45292 56615 90584 113230 222029 226460 444058 452920 888116 1110145 1776232 2220290 2886377 4440580 5772754 8881160 11545508 14431885 14875943 23091016 28863770 29751886 37522901 57727540 59503772 74379715 75045802 115455080 119007544 148759430 150091604 187614505 193387259 297518860 300183208 375229010 386774518 595037720 750458020 773549036 966936295 1500916040 1547098072 1933872590 2514034367 3867745180 5028068734 7735490360 10056137468 12570171835 20112274936 25140343670 50280687340 100561374680