Search a number
-
+
100109192920 = 23511881258253
BaseRepresentation
bin101110100111011111…
…0010000111011011000
3100120101210002220202221
41131032332100323120
53120010423133140
6113553423233424
710142541046132
oct1351676207330
9316353086687
10100109192920
1139502036390
121749a448874
139595321639
144bb9766052
15290db0814a
hex174ef90ed8

100109192920 has 64 divisors (see below), whose sum is σ = 246002430240. Its totient is φ = 36361881600.

The previous prime is 100109192851. The next prime is 100109192957. The reversal of 100109192920 is 29291901001.

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, 258514 + ... + 516766.

Almost surely, 2100109192920 is an apocalyptic number.

100109192920 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 100109192920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123001215120).

100109192920 is an abundant number, since it is smaller than the sum of its proper divisors (145893237320).

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

100109192920 is a wasteful number, since it uses less digits than its factorization.

100109192920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259156 (or 259152 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 34.

The spelling of 100109192920 in words is "one hundred billion, one hundred nine million, one hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 881 1762 3524 4405 7048 8810 9691 17620 19382 35240 38764 48455 77528 96910 193820 258253 387640 516506 1033012 1291265 2066024 2582530 2840783 5165060 5681566 10330120 11363132 14203915 22726264 28407830 56815660 113631320 227520893 455041786 910083572 1137604465 1820167144 2275208930 2502729823 4550417860 5005459646 9100835720 10010919292 12513649115 20021838584 25027298230 50054596460 100109192920