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103097257380 = 2233513312272087
BaseRepresentation
bin110000000000100010…
…0110100110110100100
3100212010000200022122000
41200001010310312210
53142120344214010
6115210124005300
710306563141255
oct1400104646644
9325100608560
10103097257380
113a7a5794447
1217b93090830
1399503b7310
144dc0542b2c
152a360e07c0
hex1801134da4

103097257380 has 384 divisors, whose sum is σ = 358304808960. Its totient is φ = 24439242240.

The previous prime is 103097257343. The next prime is 103097257387. The reversal of 103097257380 is 83752790301.

It is a happy number.

103097257380 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 9 + 72 + 573 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (103097257387) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 49398697 + ... + 49400783.

It is an arithmetic number, because the mean of its divisors is an integer number (933085440).

Almost surely, 2103097257380 is an apocalyptic number.

103097257380 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 103097257380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179152404480).

103097257380 is an abundant number, since it is smaller than the sum of its proper divisors (255207551580).

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

103097257380 is a wasteful number, since it uses less digits than its factorization.

103097257380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 103097257380 in words is "one hundred three billion, ninety-seven million, two hundred fifty-seven thousand, three hundred eighty".