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100351367144 = 2373748432127
BaseRepresentation
bin101110101110101101…
…0000101011111101000
3100121000122210122100122
41131131122011133220
53121004422222034
6114033434022412
710151541355340
oct1353532053750
9317018718318
10100351367144
1139616804476
1217547577a08
139603553cb2
144bdd9a5d20
152924ee362e
hex175d6857e8

100351367144 has 32 divisors (see below), whose sum is σ = 220850503680. Its totient is φ = 41845356864.

The previous prime is 100351367141. The next prime is 100351367153. The reversal of 100351367144 is 441763153001.

100351367144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100351367141) 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, 24213992 + ... + 24218135.

It is an arithmetic number, because the mean of its divisors is an integer number (6901578240).

Almost surely, 2100351367144 is an apocalyptic number.

100351367144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100351367144 is an abundant number, since it is smaller than the sum of its proper divisors (120499136536).

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

100351367144 is a wasteful number, since it uses less digits than its factorization.

100351367144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48432177 (or 48432173 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 100351367144 in words is "one hundred billion, three hundred fifty-one million, three hundred sixty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 2072 48432127 96864254 193728508 339024889 387457016 678049778 1356099556 1791988699 2712199112 3583977398 7167954796 12543920893 14335909592 25087841786 50175683572 100351367144