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1313312302100 = 2252101130030921
BaseRepresentation
bin10011000111000111100…
…000110110010000010100
311122112212222210110122002
4103013013200312100110
5133004130422131400
62443154412254432
7163612050243641
oct23070740662024
94575788713562
101313312302100
11466a77613857
12192641771418
1396aca0b3586
14477c95aadc8
15242679b5ed5
hex131c7836414

1313312302100 has 36 divisors (see below), whose sum is σ = 2878104427548. Its totient is φ = 520123680000.

The previous prime is 1313312302069. The next prime is 1313312302139. The reversal of 1313312302100 is 12032133131.

It can be written as a sum of positive squares in 6 ways, for example, as 136447494544 + 1176864807556 = 369388^2 + 1084834^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65005361 + ... + 65025560.

Almost surely, 21313312302100 is an apocalyptic number.

1313312302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313312302100 is an abundant number, since it is smaller than the sum of its proper divisors (1564792125448).

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

1313312302100 is a wasteful number, since it uses less digits than its factorization.

1313312302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130031036 (or 130031029 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1313312302100 its reverse (12032133131), we get a palindrome (1325344435231).

The spelling of 1313312302100 in words is "one trillion, three hundred thirteen billion, three hundred twelve million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 130030921 260061842 520123684 650154605 1300309210 2600618420 3250773025 6501546050 13003092100 13133123021 26266246042 52532492084 65665615105 131331230210 262662460420 328328075525 656656151050 1313312302100