Search a number
-
+
10903014720 = 2634513219131
BaseRepresentation
bin10100010011101111…
…01100110101000000
31001010211221112110000
422021313230311000
5134312132432340
65001521240000
7534121044633
oct121167546500
931124845400
1010903014720
114695516374
122143493000
131049acb100
14756065c1a
1543c2d2d30
hex289decd40

10903014720 has 840 divisors, whose sum is σ = 44544630240. Its totient is φ = 2523156480.

The previous prime is 10903014679. The next prime is 10903014761. The reversal of 10903014720 is 2741030901.

It is an interprime number because it is at equal distance from previous prime (10903014679) and next prime (10903014761).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 83229055 + ... + 83229185.

Almost surely, 210903014720 is an apocalyptic number.

10903014720 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 10903014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22272315120).

10903014720 is an abundant number, since it is smaller than the sum of its proper divisors (33641615520).

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

10903014720 is a wasteful number, since it uses less digits than its factorization.

10903014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10903014720 in words is "ten billion, nine hundred three million, fourteen thousand, seven hundred twenty".