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113406662124 = 22327329316697
BaseRepresentation
bin110100110011110010…
…0000101010111101100
3101211201111122100021100
41221213210011113230
53324224101141444
6124033122203100
711123215503000
oct1514744052754
9354644570240
10113406662124
1144106116858
1219b8b7b3490
13a904216202
1456bb806700
152e3b218e69
hex1a679055ec

113406662124 has 144 divisors (see below), whose sum is σ = 345834216000. Its totient is φ = 31284497664.

The previous prime is 113406662081. The next prime is 113406662177. The reversal of 113406662124 is 421266604311.

It is a super-2 number, since 2×1134066621242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199744 + ... + 516440.

It is an arithmetic number, because the mean of its divisors is an integer number (2401626500).

Almost surely, 2113406662124 is an apocalyptic number.

113406662124 is a gapful number since it is divisible by the number (14) 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 113406662124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172917108000).

113406662124 is an abundant number, since it is smaller than the sum of its proper divisors (232427553876).

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

113406662124 is a wasteful number, since it uses less digits than its factorization.

113406662124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316757 (or 316738 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 113406662124 in words is "one hundred thirteen billion, four hundred six million, six hundred sixty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 343 348 406 441 522 588 609 686 812 882 1029 1044 1218 1372 1421 1764 1827 2058 2436 2842 3087 3654 4116 4263 5684 6174 7308 8526 9947 12348 12789 17052 19894 25578 29841 39788 51156 59682 89523 119364 179046 316697 358092 633394 950091 1266788 1900182 2216879 2850273 3800364 4433758 5700546 6650637 8867516 9184213 11401092 13301274 15518153 18368426 19951911 26602548 27552639 31036306 36736852 39903822 46554459 55105278 62072612 64289491 79807644 82657917 93108918 108627071 110210556 128578982 139663377 165315834 186217836 192868473 217254142 257157964 279326754 325881213 330631668 385736946 434508284 450026437 558653508 578605419 651762426 771473892 900052874 977643639 1157210838 1303524852 1350079311 1800105748 1955287278 2314421676 2700158622 3150185059 3910574556 4050237933 5400317244 6300370118 8100475866 9450555177 12600740236 16200951732 18901110354 28351665531 37802220708 56703331062 113406662124