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100344411312 = 2434574574417
BaseRepresentation
bin101110101110011111…
…1100011010010110000
3100121000011201020202020
41131130333203102300
53121001132130222
6114033024551440
710151425265055
oct1353477432260
9317004636666
10100344411312
1139612893452
1217545182580
139601c89c12
144bdcab502c
1529245bc65c
hex175cfe34b0

100344411312 has 40 divisors (see below), whose sum is σ = 259790347056. Its totient is φ = 33374939136.

The previous prime is 100344411301. The next prime is 100344411317. The reversal of 100344411312 is 213114443001.

It is a super-3 number, since 3×1003444113123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100344411317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2265273 + ... + 2309144.

Almost surely, 2100344411312 is an apocalyptic number.

100344411312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100344411312 is an abundant number, since it is smaller than the sum of its proper divisors (159445935744).

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

100344411312 is a wasteful number, since it uses less digits than its factorization.

100344411312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574885 (or 4574879 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100344411312 its reverse (213114443001), we get a palindrome (313458854313).

The spelling of 100344411312 in words is "one hundred billion, three hundred forty-four million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 457 914 1371 1828 2742 3656 5484 7312 10968 21936 4574417 9148834 13723251 18297668 27446502 36595336 54893004 73190672 109786008 219572016 2090508569 4181017138 6271525707 8362034276 12543051414 16724068552 25086102828 33448137104 50172205656 100344411312