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113235045 = 35711177379
BaseRepresentation
bin1101011111111…
…01010001100101
321220001221021120
412233331101211
5212442010140
615123004153
72543324220
oct657752145
9256057246
10113235045
1158a11190
1231b09659
131a5c89b1
14110785b7
159e1b1d0
hex6bfd465

113235045 has 128 divisors (see below), whose sum is σ = 245514240. Its totient is φ = 43130880.

The previous prime is 113235043. The next prime is 113235047. The reversal of 113235045 is 540532311.

It is an interprime number because it is at equal distance from previous prime (113235043) and next prime (113235047).

It is not a de Polignac number, because 113235045 - 21 = 113235043 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113235043) 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 127 ways as a sum of consecutive naturals, for example, 1433316 + ... + 1433394.

It is an arithmetic number, because the mean of its divisors is an integer number (1918080).

Almost surely, 2113235045 is an apocalyptic number.

113235045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113235045 is an abundant number, since it is smaller than the sum of its proper divisors (132279195).

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

113235045 is a wasteful number, since it uses less digits than its factorization.

113235045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 113235045 is about 10641.1956565040. The cubic root of 113235045 is about 483.7937858063.

Adding to 113235045 its reverse (540532311), we get a palindrome (653767356).

The spelling of 113235045 in words is "one hundred thirteen million, two hundred thirty-five thousand, forty-five".

Divisors: 1 3 5 7 11 15 17 21 33 35 51 55 73 77 79 85 105 119 165 187 219 231 237 255 357 365 385 395 511 553 561 595 803 869 935 1095 1155 1185 1241 1309 1343 1533 1659 1785 2409 2555 2607 2765 2805 3723 3927 4015 4029 4345 5621 5767 6083 6205 6545 6715 7665 8295 8687 9401 12045 13035 13651 14773 16863 17301 18249 18615 19635 20145 26061 28105 28203 28835 30415 40369 40953 43435 44319 47005 63437 68255 73865 84315 86505 91245 95557 98039 103411 121107 130305 141015 190311 201845 204765 221595 286671 294117 310233 317185 444059 477785 490195 517055 605535 686273 951555 1078429 1332177 1433355 1470585 1551165 2058819 2220295 3235287 3431365 5392145 6660885 7549003 10294095 16176435 22647009 37745015 113235045