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131428259130 = 23572347257657
BaseRepresentation
bin111101001100110111…
…1000001010100111010
3110120020110110022211010
41322121233001110322
54123131113243010
6140213255414350
712331625525100
oct1723157012472
9416213408733
10131428259130
115081390a383
122157b0843b6
13c516a68a8c
14650b055c70
15364343b620
hex1e99bc153a

131428259130 has 96 divisors (see below), whose sum is σ = 367985094336. Its totient is φ = 29954055936.

The previous prime is 131428259117. The next prime is 131428259147. The reversal of 131428259130 is 31952824131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381262 + ... + 638918.

It is an arithmetic number, because the mean of its divisors is an integer number (3833178066).

Almost surely, 2131428259130 is an apocalyptic number.

131428259130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131428259130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183992547168).

131428259130 is an abundant number, since it is smaller than the sum of its proper divisors (236556835206).

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

131428259130 is a wasteful number, since it uses less digits than its factorization.

131428259130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258028 (or 258021 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 131428259130 in words is "one hundred thirty-one billion, four hundred twenty-eight million, two hundred fifty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 347 490 694 735 1041 1470 1735 2082 2429 3470 4858 5205 7287 10410 12145 14574 17003 24290 34006 36435 51009 72870 85015 102018 170030 255045 257657 510090 515314 772971 1288285 1545942 1803599 2576570 3607198 3864855 5410797 7729710 9017995 10821594 12625193 18035990 25250386 27053985 37875579 54107970 63125965 75751158 89406979 126251930 178813958 189377895 268220937 378755790 447034895 536441874 625848853 894069790 1251697706 1341104685 1877546559 2682209370 3129244265 3755093118 4380941971 6258488530 8761883942 9387732795 13142825913 18775465590 21904709855 26285651826 43809419710 65714129565 131428259130