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31130021300 = 22527263169093
BaseRepresentation
bin11100111111011111…
…100110110110110100
32222100111121221011212
4130333133212312310
51002223241140200
622145000220552
72151300546410
oct347737466664
988314557155
1031130021300
11122250a3834
12604946a758
132c21527661
14171455dd40
15c22e40035
hex73f7e6db4

31130021300 has 72 divisors (see below), whose sum is σ = 77496456576. Its totient is φ = 10632504960.

The previous prime is 31130021201. The next prime is 31130021309. The reversal of 31130021300 is 312003113.

It is a super-2 number, since 2×311300213002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130021309) 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, 99554 + ... + 268646.

Almost surely, 231130021300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31130021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38748228288).

31130021300 is an abundant number, since it is smaller than the sum of its proper divisors (46366435276).

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

31130021300 is a wasteful number, since it uses less digits than its factorization.

31130021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169377 (or 169370 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 31130021300 its reverse (312003113), we get a palindrome (31442024413).

The spelling of 31130021300 in words is "thirty-one billion, one hundred thirty million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 263 350 526 700 1052 1315 1841 2630 3682 5260 6575 7364 9205 13150 18410 26300 36820 46025 92050 169093 184100 338186 676372 845465 1183651 1690930 2367302 3381860 4227325 4734604 5918255 8454650 11836510 16909300 23673020 29591275 44471459 59182550 88942918 118365100 177885836 222357295 311300213 444714590 622600426 889429180 1111786475 1245200852 1556501065 2223572950 3113002130 4447145900 6226004260 7782505325 15565010650 31130021300