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113215338 = 232192337389
BaseRepresentation
bin1101011111110…
…00011101101010
321220000221020200
412233320131222
5212440342323
615122333030
72543212605
oct657703552
9256027220
10113215338
11589a83a5
1231aba176
131a5bca32
141107133c
159e15443
hex6bf876a

113215338 has 96 divisors (see below), whose sum is σ = 277430400. Its totient is φ = 33187968.

The previous prime is 113215337. The next prime is 113215351. The reversal of 113215338 is 833512311.

113215338 is a `hidden beast` number, since 1 + 1 + 321 + 5 + 338 = 666.

It is not an unprimeable number, because it can be changed into a prime (113215331) 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 47 ways as a sum of consecutive naturals, for example, 290848 + ... + 291236.

It is an arithmetic number, because the mean of its divisors is an integer number (2889900).

Almost surely, 2113215338 is an apocalyptic number.

113215338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113215338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138715200).

113215338 is an abundant number, since it is smaller than the sum of its proper divisors (164215062).

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

113215338 is a wasteful number, since it uses less digits than its factorization.

113215338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 473 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 113215338 is about 10640.2696394405. The cubic root of 113215338 is about 483.7657182962.

Adding to 113215338 its reverse (833512311), we get a palindrome (946727649).

The spelling of 113215338 in words is "one hundred thirteen million, two hundred fifteen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 23 37 38 46 57 69 74 111 114 138 171 207 222 333 342 389 414 437 666 703 778 851 874 1167 1311 1406 1702 2109 2334 2553 2622 3501 3933 4218 5106 6327 7002 7391 7659 7866 8947 12654 14393 14782 15318 16169 17894 22173 26841 28786 32338 43179 44346 48507 53682 66519 80523 86358 97014 129537 133038 145521 161046 169993 259074 273467 291042 331039 339986 509979 546934 662078 820401 993117 1019958 1529937 1640802 1986234 2461203 2979351 3059874 4922406 5958702 6289741 12579482 18869223 37738446 56607669 113215338