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100307147208 = 23317631389621
BaseRepresentation
bin101110101101011000…
…1011001100111001000
3100120220120121001000020
41131122301121213020
53120412112202313
6114025214140440
710150463453262
oct1353261314710
9316816531006
10100307147208
11395a3851374
12175347b1720
1395c7340758
144bd7b74b32
1529211ab323
hex175ac599c8

100307147208 has 64 divisors (see below), whose sum is σ = 265940392320. Its totient is φ = 31418956800.

The previous prime is 100307147159. The next prime is 100307147251. The reversal of 100307147208 is 802741703001.

It is a happy number.

100307147208 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62638 + ... + 452258.

It is an arithmetic number, because the mean of its divisors is an integer number (4155318630).

Almost surely, 2100307147208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100307147208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132970196160).

100307147208 is an abundant number, since it is smaller than the sum of its proper divisors (165633245112).

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

100307147208 is a wasteful number, since it uses less digits than its factorization.

100307147208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390278 (or 390274 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 100307147208 in words is "one hundred billion, three hundred seven million, one hundred forty-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 631 1262 1893 2524 3786 5048 7572 10727 15144 21454 32181 42908 64362 85816 128724 257448 389621 779242 1168863 1558484 2337726 3116968 4675452 6623557 9350904 13247114 19870671 26494228 39741342 52988456 79482684 158965368 245850851 491701702 737552553 983403404 1475105106 1966806808 2950210212 4179464467 5900420424 8358928934 12538393401 16717857868 25076786802 33435715736 50153573604 100307147208