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113339142 = 23371943367
BaseRepresentation
bin1101100000101…
…10101100000110
321220021020002000
412300112230012
5213003323032
615125130130
72544236550
oct660265406
9256236060
10113339142
1158a82414
1231b59946
131a6341a7
14110a44d0
159e3be7c
hex6c16b06

113339142 has 128 divisors (see below), whose sum is σ = 310886400. Its totient is φ = 29883168.

The previous prime is 113339117. The next prime is 113339173. The reversal of 113339142 is 241933311.

It is a super-2 number, since 2×1133391422 = 25691522218592328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308643 + ... + 309009.

It is an arithmetic number, because the mean of its divisors is an integer number (2428800).

Almost surely, 2113339142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113339142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155443200).

113339142 is an abundant number, since it is smaller than the sum of its proper divisors (197547258).

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

113339142 is a wasteful number, since it uses less digits than its factorization.

113339142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 113339142 is about 10646.0857595644. The cubic root of 113339142 is about 483.9419909759.

The spelling of 113339142 in words is "one hundred thirteen million, three hundred thirty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 43 54 57 63 86 114 126 129 133 171 189 258 266 301 342 367 378 387 399 513 602 734 774 798 817 903 1026 1101 1161 1197 1634 1806 2202 2322 2394 2451 2569 2709 3303 3591 4902 5138 5418 5719 6606 6973 7182 7353 7707 8127 9909 11438 13946 14706 15414 15781 16254 17157 19818 20919 22059 23121 31562 34314 41838 44118 46242 47343 48811 51471 62757 69363 94686 97622 102942 110467 125514 138726 142029 146433 154413 188271 220934 284058 292866 299839 308826 331401 376542 426087 439299 599678 662802 852174 878598 899517 994203 1317897 1799034 1988406 2098873 2635794 2698551 2982609 4197746 5397102 5965218 6296619 8095653 12593238 16191306 18889857 37779714 56669571 113339142