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13101205341200 = 245232753013353
BaseRepresentation
bin1011111010100101110010…
…1100001100010000010000
31201101110111112012112210212
42332221130230030100100
53204122232031404300
643510335522143252
72521350036662234
oct276513454142020
951343445175725
1013101205341200
1141a120a95a549
1215771271b1b28
1374059110c4b2
1433415d1a65c4
1517abd4614935
hexbea5cb0c410

13101205341200 has 30 divisors (see below), whose sum is σ = 31475645833194. Its totient is φ = 5240482136320.

The previous prime is 13101205341181. The next prime is 13101205341221. The reversal of 13101205341200 is 214350210131.

It can be written as a sum of positive squares in 3 ways, for example, as 309509744896 + 12791695596304 = 556336^2 + 3576548^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16376506277 + ... + 16376507076.

Almost surely, 213101205341200 is an apocalyptic number.

13101205341200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101205341200 is an abundant number, since it is smaller than the sum of its proper divisors (18374440491994).

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

13101205341200 is a wasteful number, since it uses less digits than its factorization.

13101205341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32753013371 (or 32753013360 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 13101205341200 its reverse (214350210131), we get a palindrome (13315555551331).

The spelling of 13101205341200 in words is "thirteen trillion, one hundred one billion, two hundred five million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 32753013353 65506026706 131012053412 163765066765 262024106824 327530133530 524048213648 655060267060 818825333825 1310120534120 1637650667650 2620241068240 3275301335300 6550602670600 13101205341200