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103002003104 = 25721121341761
BaseRepresentation
bin101111111101101100…
…1011101011010100000
3100211212101102220022212
41133323121131122200
53141422003044404
6115152442221252
710304325403100
oct1377331353240
9324771386285
10103002003104
113a756a44500
1217b671b4828
139936745940
144db1a29200
152a2ca7706e
hex17fb65d6a0

103002003104 has 216 divisors, whose sum is σ = 279239190804. Its totient is φ = 37042790400.

The previous prime is 103002003031. The next prime is 103002003157. The reversal of 103002003104 is 401300200301.

It can be written as a sum of positive squares in 2 ways, for example, as 71637593104 + 31364410000 = 267652^2 + 177100^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2445584 + ... + 2487344.

Almost surely, 2103002003104 is an apocalyptic number.

103002003104 is a gapful number since it is divisible by the number (14) 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 103002003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139619595402).

103002003104 is an abundant number, since it is smaller than the sum of its proper divisors (176237187700).

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

103002003104 is a wasteful number, since it uses less digits than its factorization.

103002003104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41820 (or 41794 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 103002003104 its reverse (401300200301), we get a palindrome (504302203405).

The spelling of 103002003104 in words is "one hundred three billion, two million, three thousand, one hundred four".