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113233132332320 = 25573111329497537
BaseRepresentation
bin11001101111110000100100…
…101000010010010100100000
3112211220222111200102121120212
4121233300210220102110200
5104320202423334113240
61040454325522153252
732564552402066000
oct3157604450222440
9484828450377525
10113233132332320
11330969a12467a0
121084940aab2828
134b24ab94210a0
141dd6727376000
15d156c0ed8165
hex66fc24a12520

113233132332320 has 768 divisors, whose sum is σ = 379147837824000. Its totient is φ = 31455101583360.

The previous prime is 113233132332317. The next prime is 113233132332323. The reversal of 113233132332320 is 23233231332311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113233132332317) and next prime (113233132332323).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (113233132332323) 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 127 ways as a sum of consecutive naturals, for example, 227338592 + ... + 227836128.

It is an arithmetic number, because the mean of its divisors is an integer number (493682080500).

Almost surely, 2113233132332320 is an apocalyptic number.

113233132332320 is a gapful number since it is divisible by the number (10) 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 113233132332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189573918912000).

113233132332320 is an abundant number, since it is smaller than the sum of its proper divisors (265914705491680).

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

113233132332320 is a wasteful number, since it uses less digits than its factorization.

113233132332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497626 (or 497604 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 113233132332320 its reverse (23233231332311), we get a palindrome (136466363664631).

The spelling of 113233132332320 in words is "one hundred thirteen trillion, two hundred thirty-three billion, one hundred thirty-two million, three hundred thirty-two thousand, three hundred twenty".