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113402833344 = 26321959917299
BaseRepresentation
bin110100110011101010…
…1011110100111000000
3101211201020102211011200
41221213111132213000
53324222111131334
6124032504141200
711123141115243
oct1514725364700
9354636384150
10113402833344
1144103a41179
1219b8a467800
13a9034a5568
1456bb0cb25a
152e3ac0e799
hex1a6755e9c0

113402833344 has 168 divisors, whose sum is σ = 342747600000. Its totient is φ = 35749569024.

The previous prime is 113402833343. The next prime is 113402833373. The reversal of 113402833344 is 443338204311.

113402833344 is a `hidden beast` number, since 1 + 1 + 3 + 40 + 283 + 334 + 4 = 666.

It is a super-2 number, since 2×1134028333442 (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 a junction number, because it is equal to n+sod(n) for n = 113402833299 and 113402833308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113402833343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6546807 + ... + 6564105.

Almost surely, 2113402833344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113402833344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171373800000).

113402833344 is an abundant number, since it is smaller than the sum of its proper divisors (229344766656).

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

113402833344 is a wasteful number, since it uses less digits than its factorization.

113402833344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17935 (or 17922 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 113402833344 in words is "one hundred thirteen billion, four hundred two million, eight hundred thirty-three thousand, three hundred forty-four".