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131141100323400 = 233521928911331251
BaseRepresentation
bin11101110100010110101010…
…101100110100001001001000
3122012022222002202120210221120
4131310112222230310021020
5114142103433140322100
61142525220110035240
736423426501340656
oct3564265254641110
9565288082523846
10131141100323400
11388706a0322542
12128600351a8b20
13582372537793b
142455398017dd6
15102643342d0a0
hex7745aab34248

131141100323400 has 96 divisors (see below), whose sum is σ = 406558523008800. Its totient is φ = 34969144000000.

The previous prime is 131141100323399. The next prime is 131141100323449. The reversal of 131141100323400 is 4323001141131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5907775 + ... + 17239025.

It is an arithmetic number, because the mean of its divisors is an integer number (4234984614675).

Almost surely, 2131141100323400 is an apocalyptic number.

131141100323400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141100323400 is an abundant number, since it is smaller than the sum of its proper divisors (275417422685400).

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

131141100323400 is a wasteful number, since it uses less digits than its factorization.

131141100323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11350559 (or 11350550 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131141100323400 its reverse (4323001141131), we get a palindrome (135464101464531).

The spelling of 131141100323400 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred million, three hundred twenty-three 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 19289 38578 57867 77156 96445 115734 154312 192890 231468 289335 385780 462936 482225 578670 771560 964450 1157340 1446675 1928900 2314680 2893350 3857800 5786700 11331251 11573400 22662502 33993753 45325004 56656255 67987506 90650008 113312510 135975012 169968765 226625020 271950024 283281275 339937530 453250040 566562550 679875060 849843825 1133125100 1359750120 1699687650 2266250200 3399375300 6798750600 218568500539 437137001078 655705501617 874274002156 1092842502695 1311411003234 1748548004312 2185685005390 2622822006468 3278527508085 4371370010780 5245644012936 5464212513475 6557055016170 8742740021560 10928425026950 13114110032340 16392637540425 21856850053900 26228220064680 32785275080850 43713700107800 65570550161700 131141100323400