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131360036830 = 251117893892029
BaseRepresentation
bin111101001010110101…
…0110001011111011110
3110120001201002021102021
41322111222301133132
54123011132134310
6140202421250354
712330136614211
oct1722552613736
9416051067367
10131360036830
1150789352a10
12215602639ba
13c5058a0459
146501d77778
15363c4625da
hex1e95ab17de

131360036830 has 128 divisors (see below), whose sum is σ = 277031664000. Its totient is φ = 44316180480.

The previous prime is 131360036777. The next prime is 131360036851. The reversal of 131360036830 is 38630063131.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64740256 + ... + 64742284.

It is an arithmetic number, because the mean of its divisors is an integer number (2164309875).

Almost surely, 2131360036830 is an apocalyptic number.

131360036830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131360036830 is an abundant number, since it is smaller than the sum of its proper divisors (145671627170).

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

131360036830 is a wasteful number, since it uses less digits than its factorization.

131360036830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542.

The product of its (nonzero) digits is 23328, while the sum is 34.

Adding to 131360036830 its reverse (38630063131), we get a palindrome (169990099961).

The spelling of 131360036830 in words is "one hundred thirty-one billion, three hundred sixty million, thirty-six thousand, eight hundred thirty".

Divisors: 1 2 5 10 11 17 22 34 55 85 89 110 170 178 187 374 389 445 778 890 935 979 1513 1870 1945 1958 2029 3026 3890 4058 4279 4895 6613 7565 8558 9790 10145 13226 15130 16643 20290 21395 22319 33065 33286 34493 34621 42790 44638 66130 68986 69242 72743 83215 111595 145486 166430 172465 173105 180581 223190 344930 346210 361162 363715 379423 380831 588557 727430 758846 761662 789281 902905 1177114 1578562 1805810 1897115 1904155 1986391 2942785 3069877 3794230 3808310 3946405 3972782 5885570 6139754 6474127 7892810 8682091 9931955 12948254 13417777 15349385 17364182 19863910 26835554 30698770 32370635 33768647 43410455 64741270 67088885 67537294 70246009 86820910 134177770 140492018 147595547 168843235 295191094 337686470 351230045 702460090 737977735 772706099 1194182153 1475955470 1545412198 2388364306 3863530495 5970910765 7727060990 11941821530 13136003683 26272007366 65680018415 131360036830