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113170122 = 234131729109
BaseRepresentation
bin1101011111011…
…01011011001010
321212221122020000
412233231123022
5212432420442
615121343430
72542634022
oct657553312
9255848200
10113170122
115897742a
1231a97b76
131a5a5290
141105ca82
159e06d4c
hex6bed6ca

113170122 has 160 divisors (see below), whose sum is σ = 301870800. Its totient is φ = 31352832.

The previous prime is 113170111. The next prime is 113170129. The reversal of 113170122 is 221071311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 64016001 + 49154121 = 8001^2 + 7011^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 113170095 and 113170104.

It is not an unprimeable number, because it can be changed into a prime (113170129) 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 79 ways as a sum of consecutive naturals, for example, 1038204 + ... + 1038312.

Almost surely, 2113170122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113170122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150935400).

113170122 is an abundant number, since it is smaller than the sum of its proper divisors (188700678).

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

113170122 is a wasteful number, since it uses less digits than its factorization.

113170122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 113170122 is about 10638.1446690671. The cubic root of 113170122 is about 483.7013075201.

It can be divided in two parts, 1131 and 70122, that added together give a triangular number (71253 = T377).

The spelling of 113170122 in words is "one hundred thirteen million, one hundred seventy thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 29 34 39 51 54 58 78 81 87 102 109 117 153 162 174 218 221 234 261 306 327 351 377 442 459 493 522 654 663 702 754 783 918 981 986 1053 1131 1326 1377 1417 1479 1566 1853 1962 1989 2106 2262 2349 2754 2834 2943 2958 3161 3393 3706 3978 4251 4437 4698 5559 5886 5967 6322 6409 6786 8502 8829 8874 9483 10179 11118 11934 12753 12818 13311 16677 17658 17901 18966 19227 20358 24089 25506 26622 28449 30537 33354 35802 38259 38454 39933 41093 48178 50031 53737 56898 57681 61074 72267 76518 79866 82186 85347 100062 107474 114777 115362 123279 144534 150093 161211 170694 173043 216801 229554 246558 256041 300186 322422 346086 369837 433602 483633 512082 519129 650403 698581 739674 967266 1038258 1109511 1300806 1397162 1450899 1951209 2095743 2219022 2901798 3328533 3902418 4191486 4352697 6287229 6657066 8705394 12574458 18861687 37723374 56585061 113170122