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20031312100 = 2252296907349
BaseRepresentation
bin10010101001111101…
…011001000011100100
31220201000110002101011
4102221331121003210
5312011003441400
613111404312004
71306252225552
oct225175310344
956630402334
1020031312100
11854a176298
123a70542604
131b7301bbc7
14d80516bd2
157c38a38ba
hex4a9f590e4

20031312100 has 36 divisors (see below), whose sum is σ = 44966848500. Its totient is φ = 7736229760.

The previous prime is 20031312089. The next prime is 20031312107. The reversal of 20031312100 is 121313002.

It can be written as a sum of positive squares in 6 ways, for example, as 2082279424 + 17949032676 = 45632^2 + 133974^2 .

It is not an unprimeable number, because it can be changed into a prime (20031312107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3450775 + ... + 3456574.

It is an arithmetic number, because the mean of its divisors is an integer number (1249079125).

Almost surely, 220031312100 is an apocalyptic number.

20031312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20031312100 is an abundant number, since it is smaller than the sum of its proper divisors (24935536400).

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

20031312100 is a wasteful number, since it uses less digits than its factorization.

20031312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6907392 (or 6907385 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 20031312100 its reverse (121313002), we get a palindrome (20152625102).

The spelling of 20031312100 in words is "twenty billion, thirty-one million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 6907349 13814698 27629396 34536745 69073490 138146980 172683725 200313121 345367450 400626242 690734900 801252484 1001565605 2003131210 4006262420 5007828025 10015656050 20031312100