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113410206 = 2347313157
BaseRepresentation
bin1101100001010…
…00000010011110
321220101211120000
412300220002132
5213013111311
615130435130
72544654000
oct660500236
9256354500
10113410206
1159020848
1231b92aa6
131a65a640
14110c2370
159e53056
hex6c2809e

113410206 has 160 divisors (see below), whose sum is σ = 321182400. Its totient is φ = 29719872.

The previous prime is 113410181. The next prime is 113410279. The reversal of 113410206 is 602014311.

It is a happy number.

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

113410206 is a modest number, since divided by 10206 gives 1134 as remainder.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 722280 + ... + 722436.

It is an arithmetic number, because the mean of its divisors is an integer number (2007390).

Almost surely, 2113410206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113410206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160591200).

113410206 is an abundant number, since it is smaller than the sum of its proper divisors (207772194).

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

113410206 is a wasteful number, since it uses less digits than its factorization.

113410206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

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

The square root of 113410206 is about 10649.4228012602. The cubic root of 113410206 is about 484.0431142296.

Adding to 113410206 its reverse (602014311), we get a palindrome (715424517).

It can be divided in two parts, 1134 and 10206, that multiplied together give a square (11573604 = 34022).

The spelling of 113410206 in words is "one hundred thirteen million, four hundred ten thousand, two hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 157 162 182 189 234 273 294 314 343 351 378 441 471 546 567 637 686 702 819 882 942 1029 1053 1099 1134 1274 1323 1413 1638 1911 2041 2058 2106 2198 2457 2646 2826 3087 3297 3822 3969 4082 4239 4459 4914 5733 6123 6174 6594 7371 7693 7938 8478 8918 9261 9891 11466 12246 12717 13377 14287 14742 15386 17199 18369 18522 19782 23079 25434 26754 27783 28574 29673 34398 36738 40131 42861 46158 51597 53851 55107 55566 59346 69237 80262 85722 89019 100009 103194 107702 110214 120393 128583 138474 161553 165321 178038 200018 207711 240786 257166 300027 323106 330642 361179 385749 415422 484659 600054 623133 700063 722358 771498 900081 969318 1157247 1246266 1400126 1453977 1800162 2100189 2314494 2700243 2907954 4200378 4361931 5400486 6300567 8100729 8723862 12601134 16201458 18901701 37803402 56705103 113410206