Search a number
-
+
103080787920 = 243451117257331
BaseRepresentation
bin110000000000000010…
…1111111111111010000
3100212001212200120210000
41200000011333333100
53142102140203140
6115204335010000
710306303145325
oct1400005777720
9325055616700
10103080787920
113a797465720
1217b89669900
139949b6bb86
144dbc296b4c
152a3493aa30
hex180017ffd0

103080787920 has 800 divisors, whose sum is σ = 416399170176. Its totient is φ = 23357030400.

The previous prime is 103080787889. The next prime is 103080787939. The reversal of 103080787920 is 29787080301.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 311422155 + ... + 311422485.

Almost surely, 2103080787920 is an apocalyptic number.

103080787920 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 103080787920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208199585088).

103080787920 is an abundant number, since it is smaller than the sum of its proper divisors (313318382256).

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

103080787920 is a wasteful number, since it uses less digits than its factorization.

103080787920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 103080787920 in words is "one hundred three billion, eighty million, seven hundred eighty-seven thousand, nine hundred twenty".