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13031231112 = 23321815771733
BaseRepresentation
bin11000010001011100…
…01100111010001000
31020122011120010111100
430020232030322020
5203141443343422
65553024301400
7640632431304
oct141056147210
936564503440
1013031231112
115587876899
122638171860
1312c89b8153
148b8978d04
155140707ac
hex308b8ce88

13031231112 has 96 divisors (see below), whose sum is σ = 35569923480. Its totient is φ = 4309770240.

The previous prime is 13031231107. The next prime is 13031231117. The reversal of 13031231112 is 21113213031.

13031231112 is a `hidden beast` number, since 1 + 30 + 312 + 311 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (13031231107) and next prime (13031231117).

It can be written as a sum of positive squares in 4 ways, for example, as 10963346436 + 2067884676 = 104706^2 + 45474^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13031231117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7518598 + ... + 7520330.

Almost surely, 213031231112 is an apocalyptic number.

13031231112 is a gapful number since it is divisible by the number (12) 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 13031231112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17784961740).

13031231112 is an abundant number, since it is smaller than the sum of its proper divisors (22538692368).

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

13031231112 is a wasteful number, since it uses less digits than its factorization.

13031231112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13031231112 its reverse (21113213031), we get a palindrome (34144444143).

The spelling of 13031231112 in words is "thirteen billion, thirty-one million, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 577 724 1086 1154 1448 1629 1731 1733 2172 2308 3258 3462 3466 4344 4616 5193 5199 6516 6924 6932 10386 10398 13032 13848 13864 15597 20772 20796 31194 41544 41592 62388 104437 124776 208874 313311 313673 417748 626622 627346 835496 939933 941019 999941 1253244 1254692 1879866 1882038 1999882 2506488 2509384 2823057 2999823 3759732 3764076 3999764 5646114 5999646 7519464 7528152 7999528 8999469 11292228 11999292 17998938 22584456 23998584 35997876 71995752 180989321 361978642 542967963 723957284 1085935926 1447914568 1628903889 2171871852 3257807778 4343743704 6515615556 13031231112