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113414113332 = 22331326213791
BaseRepresentation
bin110100110100000000…
…0100000100000110100
3101211202000122220102000
41221220000200200310
53324233003111312
6124033550015300
711123336025432
oct1515000404064
9354660586360
10113414113332
114410a345a83
1219b921a7530
13a905924900
1456bc7c5d52
152e3bbdbadc
hex1a68020834

113414113332 has 72 divisors (see below), whose sum is σ = 318394702080. Its totient is φ = 34896644640.

The previous prime is 113414113331. The next prime is 113414113357. The reversal of 113414113332 is 233311414311.

113414113332 is a `hidden beast` number, since 113 + 414 + 1 + 133 + 3 + 2 = 666.

It is a super-2 number, since 2×1134141133322 (a number of 23 digits) contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 113414113296 and 113414113305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113414113331) 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 23 ways as a sum of consecutive naturals, for example, 3088644 + ... + 3125147.

It is an arithmetic number, because the mean of its divisors is an integer number (4422148640).

Almost surely, 2113414113332 is an apocalyptic number.

113414113332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113414113332 is an abundant number, since it is smaller than the sum of its proper divisors (204980588748).

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

113414113332 is a wasteful number, since it uses less digits than its factorization.

113414113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6213830 (or 6213809 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 113414113332 its reverse (233311414311), we get a palindrome (346725527643).

The spelling of 113414113332 in words is "one hundred thirteen billion, four hundred fourteen million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 4563 6084 9126 18252 6213791 12427582 18641373 24855164 37282746 55924119 74565492 80779283 111848238 161558566 167772357 223696476 242337849 323117132 335544714 484675698 671089428 727013547 969351396 1050130679 1454027094 2100261358 2181040641 2908054188 3150392037 4200522716 4362081282 6300784074 8724162564 9451176111 12601568148 18902352222 28353528333 37804704444 56707056666 113414113332