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31011133312 = 272367157219
BaseRepresentation
bin11100111000011010…
…000101011110000000
32222001012220210112001
4130320122011132000
51002002322231222
622125112113344
72145325166245
oct347032053600
988035823461
1031011133312
1112173a814a5
126015695854
132c029cc933
1417028535cc
15c177a8e27
hex738685780

31011133312 has 64 divisors (see below), whose sum is σ = 65428675200. Its totient is φ = 14609954304.

The previous prime is 31011133301. The next prime is 31011133313. The reversal of 31011133312 is 21333111013.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 31011133312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31011133313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118639 + ... + 275857.

It is an arithmetic number, because the mean of its divisors is an integer number (1022323050).

Almost surely, 231011133312 is an apocalyptic number.

31011133312 is a gapful number since it is divisible by the number (32) 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 31011133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32714337600).

31011133312 is an abundant number, since it is smaller than the sum of its proper divisors (34417541888).

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

31011133312 is a wasteful number, since it uses less digits than its factorization.

31011133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157323 (or 157311 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 31011133312 its reverse (21333111013), we get a palindrome (52344244325).

The spelling of 31011133312 in words is "thirty-one billion, eleven million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 67 92 128 134 184 268 368 536 736 1072 1472 1541 2144 2944 3082 4288 6164 8576 12328 24656 49312 98624 157219 197248 314438 628876 1257752 2515504 3616037 5031008 7232074 10062016 10533673 14464148 20124032 21067346 28928296 42134692 57856592 84269384 115713184 168538768 231426368 242274479 337077536 462852736 484548958 674155072 969097916 1348310144 1938195832 3876391664 7752783328 15505566656 31011133312