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31311000312 = 23347181153359
BaseRepresentation
bin11101001010010001…
…111111001011111000
32222211010011121201020
4131022101333023320
51003111104002222
622214543222440
72155626053124
oct351221771370
988733147636
1031311000312
1112308274a69
126099ba7a20
132c4cb82027
1417305d0584
15c33c8d65c
hex74a47f2f8

31311000312 has 64 divisors (see below), whose sum is σ = 80385177600. Its totient is φ = 10158433920.

The previous prime is 31311000269. The next prime is 31311000313. The reversal of 31311000312 is 21300011313.

It is a junction number, because it is equal to n+sod(n) for n = 31311000291 and 31311000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31311000313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127489 + ... + 280847.

It is an arithmetic number, because the mean of its divisors is an integer number (1256018400).

Almost surely, 231311000312 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 31311000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40192588800).

31311000312 is an abundant number, since it is smaller than the sum of its proper divisors (49074177288).

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

31311000312 is a wasteful number, since it uses less digits than its factorization.

31311000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153596 (or 153592 counting only the distinct ones).

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

Adding to 31311000312 its reverse (21300011313), we get a palindrome (52611011625).

The spelling of 31311000312 in words is "thirty-one billion, three hundred eleven million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 47 94 141 181 188 282 362 376 543 564 724 1086 1128 1448 2172 4344 8507 17014 25521 34028 51042 68056 102084 153359 204168 306718 460077 613436 920154 1226872 1840308 3680616 7207873 14415746 21623619 27757979 28831492 43247238 55515958 57662984 83273937 86494476 111031916 166547874 172988952 222063832 333095748 666191496 1304625013 2609250026 3913875039 5218500052 7827750078 10437000104 15655500156 31311000312