Search a number
-
+
11431530000 = 243454111283
BaseRepresentation
bin10101010010101111…
…10100111000010000
31002111200102220010000
422221113310320100
5141402432430000
65130201210000
7553166254542
oct125127647020
932450386100
1011431530000
114936889760
122270490900
131102458447
147a6321692
1546d8d0000
hex2a95f4e10

11431530000 has 500 divisors, whose sum is σ = 45138213648. Its totient is φ = 2769120000.

The previous prime is 11431529983. The next prime is 11431530029. The reversal of 11431530000 is 3513411.

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 8909359 + ... + 8910641.

Almost surely, 211431530000 is an apocalyptic number.

11431530000 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 11431530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22569106824).

11431530000 is an abundant number, since it is smaller than the sum of its proper divisors (33706683648).

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

11431530000 is a wasteful number, since it uses less digits than its factorization.

11431530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 11431530000 in words is "eleven billion, four hundred thirty-one million, five hundred thirty thousand".