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31310311332 = 223232917212273
BaseRepresentation
bin11101001010001111…
…010110111110100100
32222211001212121121110
4131022033112332210
51003110414430312
622214520345020
72155620153336
oct351217267644
988731777543
1031310311332
1112307944363
126099915170
132c4c9a0551
141730491456
15c33ba443c
hex74a3d6fa4

31310311332 has 96 divisors (see below), whose sum is σ = 78943092480. Its totient is φ = 9628917760.

The previous prime is 31310311321. The next prime is 31310311387. The reversal of 31310311332 is 23311301313.

It is a super-2 number, since 2×313103113322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31310311299 and 31310311308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13773748 + ... + 13776020.

It is an arithmetic number, because the mean of its divisors is an integer number (822323880).

Almost surely, 231310311332 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 31310311332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39471546240).

31310311332 is an abundant number, since it is smaller than the sum of its proper divisors (47632781148).

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

31310311332 is a wasteful number, since it uses less digits than its factorization.

31310311332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 31310311332 its reverse (23311301313), we get a palindrome (54621612645).

The spelling of 31310311332 in words is "thirty-one billion, three hundred ten million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 1721 2001 2273 2668 3442 4002 4546 5163 6819 6884 8004 9092 10326 13638 20652 27276 39583 49909 52279 65917 79166 99818 104558 118749 131834 149727 156837 158332 197751 199636 209116 237498 263668 299454 313674 395502 474996 598908 627348 791004 1147907 1516091 2295814 3032182 3443721 3911833 4548273 4591628 6064364 6887442 7823666 9096546 11735499 13774884 15647332 18193092 23470998 46941996 89972159 113443157 179944318 226886314 269916477 340329471 359888636 453772628 539832954 680658942 1079665908 1361317884 2609192611 5218385222 7827577833 10436770444 15655155666 31310311332