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131321010203100 = 223252311469171169
BaseRepresentation
bin11101110110111110001110…
…001010100010100111011100
3122012222011110222202122101100
4131312332032022202213130
5114203030412102444400
61143144012251113100
736442426024154454
oct3566761612424734
9565864428678340
10131321010203100
113892aa22800a33
121288aa84742790
135837697427563
14245dd83c74d64
15102ae62c84100
hex776f8e2a29dc

131321010203100 has 108 divisors (see below), whose sum is σ = 412941943617840. Its totient is φ = 34906334899200.

The previous prime is 131321010203099. The next prime is 131321010203161. The reversal of 131321010203100 is 1302010123131.

131321010203100 is a `hidden beast` number, since 1 + 3 + 1 + 321 + 0 + 10 + 20 + 310 + 0 = 666.

It is a super-2 number, since 2×1313210102031002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234305685 + ... + 234865484.

It is an arithmetic number, because the mean of its divisors is an integer number (3823536514980).

Almost surely, 2131321010203100 is an apocalyptic number.

131321010203100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131321010203100 is an abundant number, since it is smaller than the sum of its proper divisors (281620933414740).

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

131321010203100 is a wasteful number, since it uses less digits than its factorization.

131321010203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469171500 (or 469171490 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131321010203100 its reverse (1302010123131), we get a palindrome (132623020326231).

The spelling of 131321010203100 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, ten million, two hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 311 450 622 900 933 1244 1555 1866 2799 3110 3732 4665 5598 6220 7775 9330 11196 13995 15550 18660 23325 27990 31100 46650 55980 69975 93300 139950 279900 469171169 938342338 1407513507 1876684676 2345855845 2815027014 4222540521 4691711690 5630054028 7037567535 8445081042 9383423380 11729279225 14075135070 16890162084 21112702605 23458558450 28150270140 35187837675 42225405210 46917116900 70375675350 84450810420 105563513025 140751350700 145912233559 211127026050 291824467118 422254052100 437736700677 583648934236 729561167795 875473401354 1313210102031 1459122335590 1750946802708 2188683503385 2626420204062 2918244671180 3647805838975 4377367006770 5252840408124 6566050510155 7295611677950 8754734013540 10943417516925 13132101020310 14591223355900 21886835033850 26264202040620 32830252550775 43773670067700 65660505101550 131321010203100