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31304412200 = 23522310763601
BaseRepresentation
bin11101001001111000…
…110110110000101000
32222210122202220112002
4131021320312300220
51003102412142300
622214150110132
72155516053605
oct351170666050
988718686462
1031304412200
1112304585246
12609794b348
132c4b6b6439
14172d7976ac
15c333db5d5
hex749e36c28

31304412200 has 96 divisors (see below), whose sum is σ = 76658218560. Its totient is φ = 11865216000.

The previous prime is 31304412199. The next prime is 31304412229. The reversal of 31304412200 is 221440313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 460400 + ... + 524000.

It is an arithmetic number, because the mean of its divisors is an integer number (798523110).

Almost surely, 231304412200 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 31304412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38329109280).

31304412200 is an abundant number, since it is smaller than the sum of its proper divisors (45353806360).

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

31304412200 is a wasteful number, since it uses less digits than its factorization.

31304412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63747 (or 63738 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31304412200 its reverse (221440313), we get a palindrome (31525852513).

The spelling of 31304412200 in words is "thirty-one billion, three hundred four million, four hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 107 115 184 200 214 230 428 460 535 575 856 920 1070 1150 2140 2300 2461 2675 4280 4600 4922 5350 9844 10700 12305 19688 21400 24610 49220 61525 63601 98440 123050 127202 246100 254404 318005 492200 508808 636010 1272020 1462823 1590025 2544040 2925646 3180050 5851292 6360100 6805307 7314115 11702584 12720200 13610614 14628230 27221228 29256460 34026535 36570575 54442456 58512920 68053070 73141150 136106140 146282300 156522061 170132675 272212280 292564600 313044122 340265350 626088244 680530700 782610305 1252176488 1361061400 1565220610 3130441220 3913051525 6260882440 7826103050 15652206100 31304412200