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1313101433412 = 22321811355314869
BaseRepresentation
bin10011000110111010111…
…100011100101001000100
311122112100022000020011200
4103012322330130221010
5133003212431332122
62443121440502500
7163603610011266
oct23067274345104
94575308006150
101313101433412
1146697958800a
121925a301aa30
1396a954c21c2
14477a9599b36
15242542115ac
hex131baf1ca44

1313101433412 has 72 divisors (see below), whose sum is σ = 3338037644760. Its totient is φ = 435220853760.

The previous prime is 1313101433411. The next prime is 1313101433431. The reversal of 1313101433412 is 2143341013131.

1313101433412 is a `hidden beast` number, since 1 + 3 + 1 + 310 + 1 + 4 + 3 + 341 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4992270336 + 1308109163076 = 70656^2 + 1143726^2 .

It is not an unprimeable number, because it can be changed into a prime (1313101433411) 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, 88303914 + ... + 88318782.

It is an arithmetic number, because the mean of its divisors is an integer number (46361633955).

Almost surely, 21313101433412 is an apocalyptic number.

1313101433412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313101433412 is an abundant number, since it is smaller than the sum of its proper divisors (2024936211348).

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

1313101433412 is a wasteful number, since it uses less digits than its factorization.

1313101433412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28613 (or 28608 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1313101433412 its reverse (2143341013131), we get a palindrome (3456442446543).

The spelling of 1313101433412 in words is "one trillion, three hundred thirteen billion, one hundred one million, four hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 13553 14869 27106 29738 40659 44607 54212 59476 81318 89214 121977 133821 162636 178428 243954 267642 487908 535284 2453093 2691289 4906186 5382578 7359279 8073867 9812372 10765156 14718558 16147734 22077837 24221601 29437116 32295468 44155674 48443202 88311348 96886404 201519557 403039114 604558671 806078228 1209117342 1813676013 2418234684 3627352026 7254704052 36475039817 72950079634 109425119451 145900159268 218850238902 328275358353 437700477804 656550716706 1313101433412