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131141112109000 = 2353723814541069
BaseRepresentation
bin11101110100010110101011…
…011001110001011111001000
3122012022222010120202120202021
4131310112223121301133020
5114142103444144442000
61142525221210414224
736423430003455220
oct3564265331613710
9565288116676667
10131141112109000
11388706a6a42204
1212860039131374
135823727943176
142455399805080
1510264344aa11a
hex7745ab6717c8

131141112109000 has 128 divisors (see below), whose sum is σ = 365957011929600. Its totient is φ = 43007768390400.

The previous prime is 131141112108989. The next prime is 131141112109001. The reversal of 131141112109000 is 901211141131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (131141112109001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407109535 + ... + 407431534.

It is an arithmetic number, because the mean of its divisors is an integer number (2859039155700).

Almost surely, 2131141112109000 is an apocalyptic number.

131141112109000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141112109000 is an abundant number, since it is smaller than the sum of its proper divisors (234815899820600).

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

131141112109000 is a wasteful number, since it uses less digits than its factorization.

131141112109000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814541120 (or 814541106 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 25.

The spelling of 131141112109000 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twelve million, one hundred nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 125 140 161 175 184 200 230 250 280 322 350 460 500 575 644 700 805 875 920 1000 1150 1288 1400 1610 1750 2300 2875 3220 3500 4025 4600 5750 6440 7000 8050 11500 16100 20125 23000 32200 40250 80500 161000 814541069 1629082138 3258164276 4072705345 5701787483 6516328552 8145410690 11403574966 16290821380 18734444587 20363526725 22807149932 28508937415 32581642760 37468889174 40727053450 45614299864 57017874830 74937778348 81454106900 93672222935 101817633625 114035749660 131141112109 142544687075 149875556696 162908213800 187344445870 203635267250 228071499320 262282224218 285089374150 374688891740 407270534500 468361114675 524564448436 570178748300 655705560545 712723435375 749377783480 814541069000 936722229350 1049128896872 1140357496600 1311411121090 1425446870750 1873444458700 2341805573375 2622822242180 2850893741500 3278527802725 3746888917400 4683611146750 5245644484360 5701787483000 6557055605450 9367222293500 13114111210900 16392639013625 18734444587000 26228222421800 32785278027250 65570556054500 131141112109000