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103238309376 = 293317225841
BaseRepresentation
bin110000000100101111…
…0111001011000000000
3100212110212002111121000
41200021132321120000
53142413001400001
6115232123132000
710313225102466
oct1401136713000
9325425074530
10103238309376
113a868374944
1218012374000
1399736a2437
144dd517c836
152a436a3a86
hex18097b9600

103238309376 has 240 divisors, whose sum is σ = 324638574480. Its totient is φ = 32387235840.

The previous prime is 103238309311. The next prime is 103238309411. The reversal of 103238309376 is 673903832301.

103238309376 is a `hidden beast` number, since 10 + 3 + 238 + 30 + 9 + 376 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3982216 + ... + 4008056.

It is an arithmetic number, because the mean of its divisors is an integer number (1352660727).

Almost surely, 2103238309376 is an apocalyptic number.

103238309376 is a gapful number since it is divisible by the number (16) 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 103238309376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162319287240).

103238309376 is an abundant number, since it is smaller than the sum of its proper divisors (221400265104).

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

103238309376 is an equidigital number, since it uses as much as digits as its factorization.

103238309376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25902 (or 25863 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 103238309376 in words is "one hundred three billion, two hundred thirty-eight million, three hundred nine thousand, three hundred seventy-six".