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100110120020 = 22526918607829
BaseRepresentation
bin101110100111100000…
…1110011010001010100
3100120101211212000111222
41131033001303101110
53120011142320040
6113553455145512
710142551660061
oct1351701632124
9316354760458
10100110120020
1139502609989
121749a815298
139595587611
144bb9927c68
15290dc3cbb5
hex174f073454

100110120020 has 24 divisors (see below), whose sum is σ = 211012792200. Its totient is φ = 39895183232.

The previous prime is 100110119983. The next prime is 100110120023. The reversal of 100110120020 is 20021011001.

It can be written as a sum of positive squares in 4 ways, for example, as 3037993924 + 97072126096 = 55118^2 + 311564^2 .

It is a super-2 number, since 2×1001101200202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110120023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9298535 + ... + 9309294.

It is an arithmetic number, because the mean of its divisors is an integer number (8792199675).

Almost surely, 2100110120020 is an apocalyptic number.

100110120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110120020 is an abundant number, since it is smaller than the sum of its proper divisors (110902672180).

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

100110120020 is a wasteful number, since it uses less digits than its factorization.

100110120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18608107 (or 18608105 counting only the distinct ones).

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

Adding to 100110120020 its reverse (20021011001), we get a palindrome (120131131021).

The spelling of 100110120020 in words is "one hundred billion, one hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 269 538 1076 1345 2690 5380 18607829 37215658 74431316 93039145 186078290 372156580 5005506001 10011012002 20022024004 25027530005 50055060010 100110120020