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100112002002 = 234769803609
BaseRepresentation
bin101110100111100100…
…0111110101111010010
3100120101222101122010000
41131033020332233102
53120012133031002
6113554003350430
710142603655645
oct1351710765722
9316358348100
10100112002002
1139503684941
121749b382416
139595a9610c
144bb9c97a5c
15290deb061c
hex174f23ebd2

100112002002 has 40 divisors (see below), whose sum is σ = 224617031100. Its totient is φ = 33327230976.

The previous prime is 100112001991. The next prime is 100112002061. The reversal of 100112002002 is 200200211001.

It can be written as a sum of positive squares in 2 ways, for example, as 99843992361 + 268009641 = 315981^2 + 16371^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 277227 + ... + 526382.

Almost surely, 2100112002002 is an apocalyptic number.

100112002002 is an abundant number, since it is smaller than the sum of its proper divisors (124505029098).

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

100112002002 is an equidigital number, since it uses as much as digits as its factorization.

100112002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804392 (or 804383 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100112002002 its reverse (200200211001), we get a palindrome (300312213003).

The spelling of 100112002002 in words is "one hundred billion, one hundred twelve million, two thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 769 1538 2307 4614 6921 13842 20763 41526 62289 124578 803609 1607218 2410827 4821654 7232481 14464962 21697443 43394886 65092329 130184658 617975321 1235950642 1853925963 3707851926 5561777889 11123555778 16685333667 33370667334 50056001001 100112002002