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31130312100 = 22352711461517
BaseRepresentation
bin11100111111100000…
…101101110110100100
32222100112011201002020
4130333200231312210
51002223324441400
622145010343140
72151303200256
oct347740556644
988315151066
1031130312100
1112225282268
12604958aab0
132c215c9b24
1417145d7cd6
15c22e9b2a0
hex73f82dda4

31130312100 has 72 divisors (see below), whose sum is σ = 91339028928. Its totient is φ = 8184489600.

The previous prime is 31130312053. The next prime is 31130312123. The reversal of 31130312100 is 121303113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31130312100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709459 + ... + 752058.

It is an arithmetic number, because the mean of its divisors is an integer number (1268597624).

Almost surely, 231130312100 is an apocalyptic number.

31130312100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31130312100 is an abundant number, since it is smaller than the sum of its proper divisors (60208716828).

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

31130312100 is a wasteful number, since it uses less digits than its factorization.

31130312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461605 (or 1461598 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31130312100 its reverse (121303113), we get a palindrome (31251615213).

The spelling of 31130312100 in words is "thirty-one billion, one hundred thirty million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 21300 1461517 2923034 4384551 5846068 7307585 8769102 14615170 17538204 21922755 29230340 36537925 43845510 73075850 87691020 103767707 109613775 146151700 207535414 219227550 311303121 415070828 438455100 518838535 622606242 1037677070 1245212484 1556515605 2075354140 2594192675 3113031210 5188385350 6226062420 7782578025 10376770700 15565156050 31130312100