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13131031013400 = 2335288324784883
BaseRepresentation
bin1011111100010100111001…
…1100000110100000011000
31201111022111010110200101210
42333011032130012200120
53210114322414412100
643532151245543120
72523454122005616
oct277051634064030
951438433420353
1013131031013400
114202925755513
121580a6b874aa0
13743335338441
1433578c3d26b6
1517b87cca5c50
hexbf14e706818

13131031013400 has 96 divisors (see below), whose sum is σ = 40752297668160. Its totient is φ = 3497642547840.

The previous prime is 13131031013393. The next prime is 13131031013437. The reversal of 13131031013400 is 431013013131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11862642 + ... + 12922241.

It is an arithmetic number, because the mean of its divisors is an integer number (424503100710).

Almost surely, 213131031013400 is an apocalyptic number.

13131031013400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131031013400 is an abundant number, since it is smaller than the sum of its proper divisors (27621266654760).

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

13131031013400 is a wasteful number, since it uses less digits than its factorization.

13131031013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24785785 (or 24785776 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13131031013400 its reverse (431013013131), we get a palindrome (13562044026531).

The spelling of 13131031013400 in words is "thirteen trillion, one hundred thirty-one billion, thirty-one million, thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 883 1766 2649 3532 4415 5298 7064 8830 10596 13245 17660 21192 22075 26490 35320 44150 52980 66225 88300 105960 132450 176600 264900 529800 24784883 49569766 74354649 99139532 123924415 148709298 198279064 247848830 297418596 371773245 495697660 594837192 619622075 743546490 991395320 1239244150 1487092980 1858866225 2478488300 2974185960 3717732450 4956976600 7435464900 14870929800 21885051689 43770103378 65655155067 87540206756 109425258445 131310310134 175080413512 218850516890 262620620268 328275775335 437701033780 525241240536 547126292225 656551550670 875402067560 1094252584450 1313103101340 1641378876675 2188505168900 2626206202680 3282757753350 4377010337800 6565515506700 13131031013400