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113103022323330 = 238513236319137
BaseRepresentation
bin11001101101110111011001…
…011101111111011010000010
3112211110112200002111100000000
4121231313121131333122002
5104311034442203321310
61040314451113140430
732552265221211504
oct3155673135773202
9484415602440000
10113103022323330
11330467a456a246
12108281593ba716
134b157528100a0
141dd0303431d74
15d121086944c0
hex66ddd977f682

113103022323330 has 576 divisors, whose sum is σ = 343731431167488. Its totient is φ = 26585163601920.

The previous prime is 113103022323287. The next prime is 113103022323337. The reversal of 113103022323330 is 33323220301311.

113103022323330 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 3 + 0 + 2 + 2 + 323 + 330 = 666.

It is a super-2 number, since 2×1131030223233302 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 113103022323294 and 113103022323303.

It is not an unprimeable number, because it can be changed into a prime (113103022323337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12378568522 + ... + 12378577658.

It is an arithmetic number, because the mean of its divisors is an integer number (596755956888).

Almost surely, 2113103022323330 is an apocalyptic number.

113103022323330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113103022323330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171865715583744).

113103022323330 is an abundant number, since it is smaller than the sum of its proper divisors (230628408844158).

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

113103022323330 is an equidigital number, since it uses as much as digits as its factorization.

113103022323330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9835 (or 9814 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 113103022323330 its reverse (33323220301311), we get a palindrome (146426242624641).

The spelling of 113103022323330 in words is "one hundred thirteen trillion, one hundred three billion, twenty-two million, three hundred twenty-three thousand, three hundred thirty".