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103131103320 = 23325773560617
BaseRepresentation
bin110000000001100010…
…1111100000001011000
3100212012101100212112100
41200003011330001120
53142203030301240
6115213333243400
710310453625420
oct1400305740130
9325171325470
10103131103320
113a8129013a3
1217ba2493560
1399574079bb
144dc4c33480
152a39078e30
hex180317c058

103131103320 has 192 divisors, whose sum is σ = 388306451520. Its totient is φ = 23249866752.

The previous prime is 103131103301. The next prime is 103131103337. The reversal of 103131103320 is 23301131301.

It is a happy number.

103131103320 is a `hidden beast` number, since 1 + 0 + 31 + 311 + 0 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103131103293 and 103131103302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96349 + ... + 464268.

It is an arithmetic number, because the mean of its divisors is an integer number (2022429435).

Almost surely, 2103131103320 is an apocalyptic number.

103131103320 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 103131103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194153225760).

103131103320 is an abundant number, since it is smaller than the sum of its proper divisors (285175348200).

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

103131103320 is a wasteful number, since it uses less digits than its factorization.

103131103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560714 (or 560707 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103131103320 its reverse (23301131301), we get a palindrome (126432234621).

The spelling of 103131103320 in words is "one hundred three billion, one hundred thirty-one million, one hundred three thousand, three hundred twenty".