Search a number
-
+
100012920912 = 24331291717923
BaseRepresentation
bin101110100100100111…
…1000001000001010000
3100120011001221210102000
41131021033001001100
53114311301432122
6113540103554000
710140261541542
oct1351117010120
9316131853360
10100012920912
1139462760843
121747215b900
13957b3b4958
144baaa65692
15290543d0ac
hex17493c1050

100012920912 has 80 divisors (see below), whose sum is σ = 287112367680. Its totient is φ = 33333199488.

The previous prime is 100012920901. The next prime is 100012920913. The reversal of 100012920912 is 219029210001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012920913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5571183 + ... + 5589105.

It is an arithmetic number, because the mean of its divisors is an integer number (3588904596).

Almost surely, 2100012920912 is an apocalyptic number.

100012920912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100012920912 is an abundant number, since it is smaller than the sum of its proper divisors (187099446768).

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

100012920912 is a wasteful number, since it uses less digits than its factorization.

100012920912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30857 (or 30845 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 100012920912 in words is "one hundred billion, twelve million, nine hundred twenty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 12917 17923 25834 35846 38751 51668 53769 71692 77502 103336 107538 116253 143384 155004 161307 206672 215076 232506 286768 310008 322614 348759 430152 465012 483921 620016 645228 697518 860304 930024 967842 1290456 1395036 1860048 1935684 2580912 2790072 3871368 5580144 7742736 231511391 463022782 694534173 926045564 1389068346 1852091128 2083602519 2778136692 3704182256 4167205038 5556273384 6250807557 8334410076 11112546768 12501615114 16668820152 25003230228 33337640304 50006460456 100012920912