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13131400234100 = 2252732117936621
BaseRepresentation
bin1011111100010110010001…
…1100100100010001110100
31201111100102212020000222112
42333011210130210101310
53210121101424442400
643532252035350152
72523466224225041
oct277054434442164
951440385200875
1013131400234100
114202aa5108495
121580b53452358
13743393991125
143357c54641c8
1517b8a03d9835
hexbf164724474

13131400234100 has 36 divisors (see below), whose sum is σ = 28499032343628. Its totient is φ = 5251842336000.

The previous prime is 13131400234093. The next prime is 13131400234111. The reversal of 13131400234100 is 143200413131.

It can be written as a sum of positive squares in 6 ways, for example, as 758411073424 + 12372989160676 = 870868^2 + 3517526^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8236211 + ... + 9700410.

It is an arithmetic number, because the mean of its divisors is an integer number (791639787323).

Almost surely, 213131400234100 is an apocalyptic number.

13131400234100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131400234100 is an abundant number, since it is smaller than the sum of its proper divisors (15367632109528).

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

13131400234100 is a wasteful number, since it uses less digits than its factorization.

13131400234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17943956 (or 17943949 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13131400234100 its reverse (143200413131), we get a palindrome (13274600647231).

The spelling of 13131400234100 in words is "thirteen trillion, one hundred thirty-one billion, four hundred million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7321 14642 29284 36605 73210 146420 183025 366050 732100 17936621 35873242 71746484 89683105 179366210 358732420 448415525 896831050 1793662100 131314002341 262628004682 525256009364 656570011705 1313140023410 2626280046820 3282850058525 6565700117050 13131400234100