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104113131200 = 2652135005439
BaseRepresentation
bin110000011110110100…
…0000100111011000000
3100221201211020001112022
41200331220010323000
53201210430144300
6115455013421012
710344010004441
oct1407550047300
9327654201468
10104113131200
114017716a491
121821733a768
139a829c17a0
1450794232c8
152a953aa285
hex183da04ec0

104113131200 has 84 divisors (see below), whose sum is σ = 275889841920. Its totient is φ = 38441763840.

The previous prime is 104113131173. The next prime is 104113131251. The reversal of 104113131200 is 2131311401.

104113131200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 2481920 + ... + 2523519.

It is an arithmetic number, because the mean of its divisors is an integer number (3284402880).

Almost surely, 2104113131200 is an apocalyptic number.

104113131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104113131200 is an abundant number, since it is smaller than the sum of its proper divisors (171776710720).

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

104113131200 is a wasteful number, since it uses less digits than its factorization.

104113131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005474 (or 5005459 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 104113131200 its reverse (2131311401), we get a palindrome (106244442601).

The spelling of 104113131200 in words is "one hundred four billion, one hundred thirteen million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 5005439 10010878 20021756 25027195 40043512 50054390 65070707 80087024 100108780 125135975 130141414 160174048 200217560 250271950 260282828 320348096 325353535 400435120 500543900 520565656 650707070 800870240 1001087800 1041131312 1301414140 1601740480 1626767675 2002175600 2082262624 2602828280 3253535350 4004351200 4164525248 5205656560 6507070700 8008702400 10411313120 13014141400 20822626240 26028282800 52056565600 104113131200