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100080020970 = 232510910201837
BaseRepresentation
bin101110100110100111…
…0111110110111101010
3100120022202012211101100
41131031032332313222
53114430441132340
6113550502102230
710142035066536
oct1351516766752
9316282184340
10100080020970
1139497621036
121749071a976
13958c279527
144bb5930bc6
15290b294830
hex174d3bedea

100080020970 has 48 divisors (see below), whose sum is σ = 262595310120. Its totient is φ = 26443158912.

The previous prime is 100080020959. The next prime is 100080020977. The reversal of 100080020970 is 79020080001.

It can be written as a sum of positive squares in 4 ways, for example, as 71460517041 + 28619503929 = 267321^2 + 169173^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100080020977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5091109 + ... + 5110728.

Almost surely, 2100080020970 is an apocalyptic number.

100080020970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100080020970 is an abundant number, since it is smaller than the sum of its proper divisors (162515289150).

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

100080020970 is a wasteful number, since it uses less digits than its factorization.

100080020970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10201959 (or 10201956 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 100080020970 in words is "one hundred billion, eighty million, twenty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 10201837 20403674 30605511 51009185 61211022 91816533 102018370 153027555 183633066 306055110 459082665 918165330 1112000233 2224000466 3336000699 5560001165 6672001398 10008002097 11120002330 16680003495 20016004194 33360006990 50040010485 100080020970