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113354303302152 = 2332111217415928277
BaseRepresentation
bin11001110001100001011010…
…111110110110101000001000
3112212100120021021222122201100
4121301201122332312220020
5104324144103121132102
61041030125324421400
732606402210250423
oct3161413276665010
9485316237878640
10113354303302152
1133133321089880
12108689a69a7860
134b3335a0a71c3
141ddc5400129ba
15d18913b92a1c
hex67185afb6a08

113354303302152 has 192 divisors, whose sum is σ = 335278084377600. Its totient is φ = 34312098078720.

The previous prime is 113354303302151. The next prime is 113354303302181. The reversal of 113354303302152 is 251203303453311.

113354303302152 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 5 + 430 + 3 + 3 + 0 + 215 + 2 = 666.

It is a super-2 number, since 2×1133543033021522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113354303302151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4008696238 + ... + 4008724514.

It is an arithmetic number, because the mean of its divisors is an integer number (1746240022800).

Almost surely, 2113354303302152 is an apocalyptic number.

113354303302152 is a gapful number since it is divisible by the number (12) 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 113354303302152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167639042188800).

113354303302152 is an abundant number, since it is smaller than the sum of its proper divisors (221923781075448).

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

113354303302152 is a wasteful number, since it uses less digits than its factorization.

113354303302152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33676 (or 33669 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 113354303302152 its reverse (251203303453311), we get a palindrome (364557606755463).

The spelling of 113354303302152 in words is "one hundred thirteen trillion, three hundred fifty-four billion, three hundred three million, three hundred two thousand, one hundred fifty-two".