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100330030332 = 22327398135041
BaseRepresentation
bin101110101110000100…
…0101100010011111100
3100120222011122121202100
41131130020230103330
53120433441432312
6114031352425100
710151162121030
oct1353410542374
9316864577670
10100330030332
1139605760844
12175403a8190
1395cbcc326c
144bdac101c0
1529231cb5dc
hex175c22c4fc

100330030332 has 36 divisors (see below), whose sum is σ = 289842310576. Its totient is φ = 28665722880.

The previous prime is 100330030319. The next prime is 100330030379. The reversal of 100330030332 is 233030033001.

100330030332 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 300 + 30 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1003300303322 (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 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 11 ways as a sum of consecutive naturals, for example, 199067269 + ... + 199067772.

Almost surely, 2100330030332 is an apocalyptic number.

100330030332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100330030332 is an abundant number, since it is smaller than the sum of its proper divisors (189512280244).

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

100330030332 is a wasteful number, since it uses less digits than its factorization.

100330030332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398135058 (or 398135053 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 100330030332 its reverse (233030033001), we get a palindrome (333360063333).

The spelling of 100330030332 in words is "one hundred billion, three hundred thirty million, thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 398135041 796270082 1194405123 1592540164 2388810246 2786945287 3583215369 4777620492 5573890574 7166430738 8360835861 11147781148 14332861476 16721671722 25082507583 33443343444 50165015166 100330030332