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131040141320 = 235112331278191
BaseRepresentation
bin111101000001010011…
…0011110000000001000
3110112020102010220021102
41322002212132000020
54121332234010240
6140110553000532
712316203552224
oct1720246360010
9415212126242
10131040141320
115063481a760
12214910b3148
13c48452797a
1464b16a5784
15361e323815
hex1e8299e008

131040141320 has 64 divisors (see below), whose sum is σ = 323024682240. Its totient is φ = 47446412800.

The previous prime is 131040141313. The next prime is 131040141329. The reversal of 131040141320 is 23141040131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131040141292 and 131040141301.

It is not an unprimeable number, because it can be changed into a prime (131040141329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536576 + ... + 741615.

It is an arithmetic number, because the mean of its divisors is an integer number (5047260660).

Almost surely, 2131040141320 is an apocalyptic number.

131040141320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131040141320 is an abundant number, since it is smaller than the sum of its proper divisors (191984540920).

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

131040141320 is a wasteful number, since it uses less digits than its factorization.

131040141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278446 (or 1278442 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131040141320 its reverse (23141040131), we get a palindrome (154181181451).

The spelling of 131040141320 in words is "one hundred thirty-one billion, forty million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 233 440 466 932 1165 1864 2330 2563 4660 5126 9320 10252 12815 20504 25630 51260 102520 1278191 2556382 5112764 6390955 10225528 12781910 14060101 25563820 28120202 51127640 56240404 70300505 112480808 140601010 281202020 297818503 562404040 595637006 1191274012 1489092515 2382548024 2978185030 3276003533 5956370060 6552007066 11912740120 13104014132 16380017665 26208028264 32760035330 65520070660 131040141320