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13131210312200 = 2352128950935649
BaseRepresentation
bin1011111100010101100100…
…1000000100101000001000
31201111022221121212000010002
42333011121020010220020
53210120204314442300
643532221132542132
72523461430013631
oct277053110045010
951438847760102
1013131210312200
114202a07989342
121580abb921948
137433635250c6
143357a8146888
1517b88d8c15d5
hexbf159204a08

13131210312200 has 48 divisors (see below), whose sum is σ = 30553749652500. Its totient is φ = 5248409169920.

The previous prime is 13131210312193. The next prime is 13131210312223. The reversal of 13131210312200 is 221301213131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11104476546244 + 2026733765956 = 3332338^2 + 1423634^2 .

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

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, 25210025 + ... + 25725624.

Almost surely, 213131210312200 is an apocalyptic number.

13131210312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131210312200 is an abundant number, since it is smaller than the sum of its proper divisors (17422539340300).

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

13131210312200 is a wasteful number, since it uses less digits than its factorization.

13131210312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50936954 (or 50936945 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13131210312200 its reverse (221301213131), we get a palindrome (13352511525331).

The spelling of 13131210312200 in words is "thirteen trillion, one hundred thirty-one billion, two hundred ten million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1289 2578 5156 6445 10312 12890 25780 32225 51560 64450 128900 257800 50935649 101871298 203742596 254678245 407485192 509356490 1018712980 1273391225 2037425960 2546782450 5093564900 10187129800 65656051561 131312103122 262624206244 328280257805 525248412488 656560515610 1313121031220 1641401289025 2626242062440 3282802578050 6565605156100 13131210312200