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113355216 = 243213193187
BaseRepresentation
bin1101100000110…
…10100111010000
321220022001010100
412300122213100
5213004331331
615125332400
72544334452
oct660324720
9256261110
10113355216
1158a934a7
1231b67100
131a63b5c0
14110aa2d2
159e41ae6
hex6c1a9d0

113355216 has 120 divisors (see below), whose sum is σ = 359733920. Its totient is φ = 33032448.

The previous prime is 113355191. The next prime is 113355227. The reversal of 113355216 is 612553311.

113355216 is a `hidden beast` number, since 1 + 133 + 5 + 521 + 6 = 666.

113355216 is nontrivially palindromic in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 113355216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33975 + ... + 37161.

Almost surely, 2113355216 is an apocalyptic number.

113355216 is a gapful number since it is divisible by the number (16) 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 113355216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179866960).

113355216 is an abundant number, since it is smaller than the sum of its proper divisors (246378704).

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

113355216 is a wasteful number, since it uses less digits than its factorization.

113355216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3224 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 113355216 is about 10646.8406581483. The cubic root of 113355216 is about 483.9648677912.

The spelling of 113355216 in words is "one hundred thirteen million, three hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 342 456 468 494 624 684 741 912 936 988 1368 1482 1872 1976 2223 2736 2964 3187 3952 4446 5928 6374 8892 9561 11856 12748 17784 19122 25496 28683 35568 38244 41431 50992 57366 60553 76488 82862 114732 121106 124293 152976 165724 181659 229464 242212 248586 331448 363318 372879 458928 484424 497172 544977 662896 726636 745758 787189 968848 994344 1089954 1453272 1491516 1574378 1988688 2179908 2361567 2906544 2983032 3148756 4359816 4723134 5966064 6297512 7084701 8719632 9446268 12595024 14169402 18892536 28338804 37785072 56677608 113355216