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113446212 = 223112234379
BaseRepresentation
bin1101100001100…
…00110101000100
321220110122221120
412300300311010
5213020234322
615131313540
72545163655
oct660606504
9256418846
10113446212
1159045900
1231bab8b0
131a670b49
14110d152c
159e5da5c
hex6c30d44

113446212 has 144 divisors (see below), whose sum is σ = 314603520. Its totient is φ = 31711680.

The previous prime is 113446211. The next prime is 113446213. The reversal of 113446212 is 212644311.

It is an interprime number because it is at equal distance from previous prime (113446211) and next prime (113446213).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113446211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1435989 + ... + 1436067.

Almost surely, 2113446212 is an apocalyptic number.

113446212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113446212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157301760).

113446212 is an abundant number, since it is smaller than the sum of its proper divisors (201157308).

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

113446212 is a wasteful number, since it uses less digits than its factorization.

113446212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 113446212 is about 10651.1131812595. The cubic root of 113446212 is about 484.0943342296.

The spelling of 113446212 in words is "one hundred thirteen million, four hundred forty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 43 44 46 66 69 79 86 92 121 129 132 138 158 172 237 242 253 258 276 316 363 473 474 484 506 516 726 759 869 946 948 989 1012 1419 1452 1518 1738 1817 1892 1978 2607 2783 2838 2967 3036 3397 3476 3634 3956 5203 5214 5451 5566 5676 5934 6794 7268 8349 9559 10191 10406 10428 10879 10902 11132 11868 13588 15609 16698 19118 19987 20382 20812 21758 21804 28677 31218 32637 33396 37367 38236 39974 40764 43516 57354 59961 62436 65274 74734 78131 79948 112101 114708 119669 119922 130548 149468 156262 219857 224202 234393 239338 239844 312524 359007 411037 439714 448404 468786 478676 659571 718014 822074 859441 879428 937572 1233111 1319142 1436028 1644148 1718882 2466222 2578323 2638284 3437764 4932444 5156646 9453851 10313292 18907702 28361553 37815404 56723106 113446212