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131200136541516 = 223710742134672817
BaseRepresentation
bin11101110101001101101001…
…100010000111010101001100
3122012112121111002122102111110
4131311031221202013111030
5114144040334423312031
61143012302145052020
736430616456041650
oct3565155142072514
9565477432572443
10131200136541516
1138893735773a49
121286b570327010
135829173238c93
1424581988aaa60
151027c3b255c46
hex77536988754c

131200136541516 has 96 divisors (see below), whose sum is σ = 353975631109632. Its totient is φ = 37047210439680.

The previous prime is 131200136541437. The next prime is 131200136541517. The reversal of 131200136541516 is 615145631002131.

It is not an unprimeable number, because it can be changed into a prime (131200136541517) 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, 13552461 + ... + 21120356.

It is an arithmetic number, because the mean of its divisors is an integer number (3687246157392).

Almost surely, 2131200136541516 is an apocalyptic number.

It is an amenable number.

131200136541516 is an abundant number, since it is smaller than the sum of its proper divisors (222775494568116).

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

131200136541516 is a wasteful number, since it uses less digits than its factorization.

131200136541516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34673359 (or 34673357 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

Adding to 131200136541516 its reverse (615145631002131), we get a palindrome (746345767543647).

The spelling of 131200136541516 in words is "one hundred thirty-one trillion, two hundred billion, one hundred thirty-six million, five hundred forty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 421 428 642 749 842 1263 1284 1498 1684 2247 2526 2947 2996 4494 5052 5894 8841 8988 11788 17682 35364 45047 90094 135141 180188 270282 315329 540564 630658 945987 1261316 1891974 3783948 34672817 69345634 104018451 138691268 208036902 242709719 416073804 485419438 728129157 970838876 1456258314 2912516628 3709991419 7419982838 11129974257 14597255957 14839965676 22259948514 25969939933 29194511914 43791767871 44519897028 51939879866 58389023828 77909819799 87583535742 102180791699 103879759732 155819639598 175167071484 204361583398 306542375097 311639279196 408723166796 613084750194 1226169500388 1561906387399 3123812774798 4685719162197 6247625549596 9371438324394 10933344711793 18742876648788 21866689423586 32800034135379 43733378847172 65600068270758 131200136541516