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31001214400 = 2652131490443
BaseRepresentation
bin11100110111110100…
…001111110111000000
32222000112020212022221
4130313310033313000
51001442302330100
622124115340424
72145144655162
oct346764176700
988015225287
1031001214400
1112169417252
1260122b1714
132c00938c60
1417013d0932
15c1699a01a
hex737d0fdc0

31001214400 has 84 divisors (see below), whose sum is σ = 82150292392. Its totient is φ = 11446594560.

The previous prime is 31001214347. The next prime is 31001214437. The reversal of 31001214400 is 441210013.

It is a super-2 number, since 2×310012144002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 724422 + ... + 766021.

Almost surely, 231001214400 is an apocalyptic number.

It is an amenable number.

31001214400 is an abundant number, since it is smaller than the sum of its proper divisors (51149077992).

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

31001214400 is a wasteful number, since it uses less digits than its factorization.

31001214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490478 (or 1490463 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 31001214400 its reverse (441210013), we get a palindrome (31442424413).

The spelling of 31001214400 in words is "thirty-one billion, one million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 1490443 2980886 5961772 7452215 11923544 14904430 19375759 23847088 29808860 37261075 38751518 47694176 59617720 74522150 77503036 95388352 96878795 119235440 149044300 155006072 193757590 238470880 298088600 310012144 387515180 476941760 484393975 596177200 620024288 775030360 968787950 1192354400 1240048576 1550060720 1937575900 2384708800 3100121440 3875151800 6200242880 7750303600 15500607200 31001214400