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103324100133320 = 235113139137310169
BaseRepresentation
bin10111011111100100000100…
…010010010000000111001000
3111112211200120012011110021022
4113133210010102100013020
5102020330224113231240
61003430234124532012
730522630344111243
oct2737440422200710
9445750505143238
10103324100133320
112aa16560965000
12b708aa00b1008
134586561760161
141b72cad8b025a
15be2a6c3929b5
hex5df9044901c8

103324100133320 has 256 divisors, whose sum is σ = 257762246112000. Its totient is φ = 37271261153280.

The previous prime is 103324100133271. The next prime is 103324100133323. The reversal of 103324100133320 is 23331001423301.

It is a self number, because there is not a number n which added to its sum of digits gives 103324100133320.

It is not an unprimeable number, because it can be changed into a prime (103324100133323) 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 63 ways as a sum of consecutive naturals, for example, 10160689196 + ... + 10160699364.

It is an arithmetic number, because the mean of its divisors is an integer number (1006883773875).

Almost surely, 2103324100133320 is an apocalyptic number.

103324100133320 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 103324100133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128881123056000).

103324100133320 is an abundant number, since it is smaller than the sum of its proper divisors (154438145978680).

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

103324100133320 is a wasteful number, since it uses less digits than its factorization.

103324100133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11725 (or 11699 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 103324100133320 its reverse (23331001423301), we get a palindrome (126655101556621).

The spelling of 103324100133320 in words is "one hundred three trillion, three hundred twenty-four billion, one hundred million, one hundred thirty-three thousand, three hundred twenty".