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113040291 = 37131923137
BaseRepresentation
bin1101011110011…
…01101110100011
321212201001010110
412233031232203
5212414242131
615114502403
72541553350
oct657155643
9255631113
10113040291
1158898931
1231a34a03
131a55b160
1411027627
159dcd646
hex6bcdba3

113040291 has 96 divisors (see below), whose sum is σ = 207556608. Its totient is φ = 53187840.

The previous prime is 113040241. The next prime is 113040349. The reversal of 113040291 is 192040311.

It is not a de Polignac number, because 113040291 - 26 = 113040227 is a prime.

It is a super-3 number, since 3×1130402913 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (113040241) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3055125 + ... + 3055161.

It is an arithmetic number, because the mean of its divisors is an integer number (2162048).

Almost surely, 2113040291 is an apocalyptic number.

113040291 is a deficient number, since it is larger than the sum of its proper divisors (94516317).

113040291 is a wasteful number, since it uses less digits than its factorization.

113040291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 113040291 is about 10632.0407730595. The cubic root of 113040291 is about 483.5162661753.

The spelling of 113040291 in words is "one hundred thirteen million, forty thousand, two hundred ninety-one".

Divisors: 1 3 7 13 19 21 31 37 39 57 91 93 111 133 217 247 259 273 361 399 403 481 589 651 703 741 777 1083 1147 1209 1443 1729 1767 2109 2527 2821 3367 3441 4123 4693 4921 5187 7581 7657 8029 8463 9139 10101 11191 12369 13357 14079 14763 14911 21793 22971 24087 27417 32851 33573 40071 44733 53599 63973 65379 78337 93499 98553 104377 145483 152551 160797 173641 191919 235011 280497 283309 313131 414067 436449 457653 520923 849927 1018381 1215487 1242201 1983163 2898469 3055143 3646461 5382871 5949489 8695407 16148613 37680097 113040291