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113413014 = 233111319773
BaseRepresentation
bin1101100001010…
…00101110010110
321220101222102000
412300220232112
5213013204024
615130500130
72544665121
oct660505626
9256358360
10113413014
1159022970
1231b94646
131a65b9c0
14110c33b8
159e53cc9
hex6c28b96

113413014 has 128 divisors (see below), whose sum is σ = 312076800. Its totient is φ = 30015360.

The previous prime is 113413009. The next prime is 113413031. The reversal of 113413014 is 410314311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146332 + ... + 147104.

It is an arithmetic number, because the mean of its divisors is an integer number (2438100).

Almost surely, 2113413014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113413014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156038400).

113413014 is an abundant number, since it is smaller than the sum of its proper divisors (198663786).

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

113413014 is a wasteful number, since it uses less digits than its factorization.

113413014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113413014 is about 10649.5546385753. The cubic root of 113413014 is about 484.0471091136.

Adding to 113413014 its reverse (410314311), we get a palindrome (523727325).

The spelling of 113413014 in words is "one hundred thirteen million, four hundred thirteen thousand, fourteen".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 27 33 38 39 54 57 66 78 99 114 117 143 171 198 209 234 247 286 297 342 351 418 429 494 513 594 627 702 741 773 858 1026 1254 1287 1482 1546 1881 2223 2319 2574 2717 3762 3861 4446 4638 5434 5643 6669 6957 7722 8151 8503 10049 11286 13338 13914 14687 16302 17006 20098 20871 24453 25509 29374 30147 41742 44061 48906 51018 60294 73359 76527 88122 90441 110539 132183 146718 153054 161557 180882 190931 221078 229581 264366 271323 323114 331617 381862 396549 459162 484671 542646 572793 663234 793098 969342 994851 1145586 1454013 1718379 1989702 2100241 2908026 2984553 3436758 4200482 4362039 5155137 5969106 6300723 8724078 10310274 12601446 18902169 37804338 56706507 113413014