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100112001002 = 21341731286489
BaseRepresentation
bin101110100111100100…
…0111110011111101010
3100120101222101120201222
41131033020332133222
53120012133013002
6113554003342042
710142603653016
oct1351710763752
9316358346658
10100112001002
1139503684112
121749b381922
139595a95820
144bb9c97546
15290deb01a2
hex174f23e7ea

100112001002 has 32 divisors (see below), whose sum is σ = 167933258640. Its totient is φ = 44461025280.

The previous prime is 100112000999. The next prime is 100112001023. The reversal of 100112001002 is 200100211001.

It can be written as a sum of positive squares in 8 ways, for example, as 27373371601 + 72738629401 = 165449^2 + 269701^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565427 + ... + 721062.

Almost surely, 2100112001002 is an apocalyptic number.

100112001002 is a deficient number, since it is larger than the sum of its proper divisors (67821257638).

100112001002 is a wasteful number, since it uses less digits than its factorization.

100112001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286618.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100112001002 its reverse (200100211001), we get a palindrome (300212212003).

The spelling of 100112001002 in words is "one hundred billion, one hundred twelve million, one thousand, two".

Divisors: 1 2 13 26 41 73 82 146 533 949 1066 1898 2993 5986 38909 77818 1286489 2572978 16724357 33448714 52746049 93913697 105492098 187827394 685698637 1220878061 1371397274 2441756122 3850461577 7700923154 50056000501 100112001002