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100330014204 = 22337132711659
BaseRepresentation
bin101110101110000100…
…0101000010111111100
3100120222011121210122000
41131130020220113330
53120433440423304
6114031352222300
710151162023020
oct1353410502774
9316864553560
10100330014204
113960574a712
121754039a990
1395cbcb8b14
144bdac08380
1529231c6939
hex175c2285fc

100330014204 has 48 divisors (see below), whose sum is σ = 297274118400. Its totient is φ = 28665718128.

The previous prime is 100330014143. The next prime is 100330014209. The reversal of 100330014204 is 402410033001.

100330014204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1003300142042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100330014209) by changing a digit.

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, 66355074 + ... + 66356585.

It is an arithmetic number, because the mean of its divisors is an integer number (6193210800).

Almost surely, 2100330014204 is an apocalyptic number.

100330014204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100330014204 is an abundant number, since it is smaller than the sum of its proper divisors (196944104196).

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

100330014204 is a wasteful number, since it uses less digits than its factorization.

100330014204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132711679 (or 132711671 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100330014204 its reverse (402410033001), we get a palindrome (502740047205).

The spelling of 100330014204 in words is "one hundred billion, three hundred thirty million, fourteen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 132711659 265423318 398134977 530846636 796269954 928981613 1194404931 1592539908 1857963226 2388809862 2786944839 3583214793 3715926452 4777619724 5573889678 7166429586 8360834517 11147779356 14332859172 16721669034 25082503551 33443338068 50165007102 100330014204