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31201644540 = 22351158780537
BaseRepresentation
bin11101000011110000…
…110100111111111100
32222112111101202210110
4131003300310333330
51002400110111130
622200035310020
72153130413463
oct350360647774
988474352713
1031201644540
11122615733a0
12606944b310
132c33313c81
14171dc859da
15c2938bab0
hex743c34ffc

31201644540 has 96 divisors (see below), whose sum is σ = 95470389504. Its totient is φ = 7551055360.

The previous prime is 31201644521. The next prime is 31201644541. The reversal of 31201644540 is 4544610213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31201644498 and 31201644507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31201644541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347152 + ... + 427688.

It is an arithmetic number, because the mean of its divisors is an integer number (994483224).

Almost surely, 231201644540 is an apocalyptic number.

31201644540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31201644540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47735194752).

31201644540 is an abundant number, since it is smaller than the sum of its proper divisors (64268744964).

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

31201644540 is a wasteful number, since it uses less digits than its factorization.

31201644540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81147 (or 81145 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 31201644540 in words is "thirty-one billion, two hundred one million, six hundred forty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 587 660 1174 1761 2348 2935 3522 5870 6457 7044 8805 11740 12914 17610 19371 25828 32285 35220 38742 64570 77484 80537 96855 129140 161074 193710 241611 322148 387420 402685 483222 805370 885907 966444 1208055 1610740 1771814 2416110 2657721 3543628 4429535 4832220 5315442 8859070 10630884 13288605 17718140 26577210 47275219 53154420 94550438 141825657 189100876 236376095 283651314 472752190 520027409 567302628 709128285 945504380 1040054818 1418256570 1560082227 2080109636 2600137045 2836513140 3120164454 5200274090 6240328908 7800411135 10400548180 15600822270 31201644540