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131311829560 = 235157179199587
BaseRepresentation
bin111101001001011001…
…0111000001000111000
3110112221100101002110211
41322102302320020320
54122411312021220
6140153540120504
712326013064222
oct1722262701070
9415840332424
10131311829560
115076411709a
1221548096134
13c4c88c2042
1464d97c9412
1536380ddb5a
hex1e92cb8238

131311829560 has 128 divisors (see below), whose sum is σ = 301008960000. Its totient is φ = 51549848064.

The previous prime is 131311829543. The next prime is 131311829581. The reversal of 131311829560 is 65928113131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223699587 + ... + 223700173.

It is an arithmetic number, because the mean of its divisors is an integer number (2351632500).

Almost surely, 2131311829560 is an apocalyptic number.

131311829560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131311829560 is an abundant number, since it is smaller than the sum of its proper divisors (169697130440).

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

131311829560 is a wasteful number, since it uses less digits than its factorization.

131311829560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 131311829560 in words is "one hundred thirty-one billion, three hundred eleven million, eight hundred twenty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 157 179 199 314 358 398 587 628 716 785 796 895 995 1174 1256 1432 1570 1592 1790 1990 2348 2935 3140 3580 3980 4696 5870 6280 7160 7960 11740 23480 28103 31243 35621 56206 62486 71242 92159 105073 112412 116813 124972 140515 142484 156215 178105 184318 210146 224824 233626 249944 281030 284968 312430 356210 368636 420292 460795 467252 525365 562060 584065 624860 712420 737272 840584 921590 934504 1050730 1124120 1168130 1249720 1424840 1843180 2101460 2336260 3686360 4202920 4672520 5592497 11184994 16496461 18339641 20909527 22369988 27962485 32992922 36679282 41819054 44739976 55924970 65985844 73358564 82482305 83638108 91698205 104547635 111849940 131971688 146717128 164964610 167276216 183396410 209095270 223699880 329929220 366792820 418190540 659858440 733585640 836381080 3282795739 6565591478 13131182956 16413978695 26262365912 32827957390 65655914780 131311829560