Search a number
-
+
12531140160 = 2635711169523
BaseRepresentation
bin10111010101110101…
…00000011001000000
31012100022112212200020
423222322200121000
5201130432441120
65431241453440
7622350635220
oct135272403100
935308485606
1012531140160
115350558090
1225187a1280
131249200846
1486c39c080
154d51da640
hex2eaea0640

12531140160 has 224 divisors, whose sum is σ = 49604078592. Its totient is φ = 2603857920.

The previous prime is 12531140119. The next prime is 12531140173. The reversal of 12531140160 is 6104113521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12531140160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10842 + ... + 158681.

Almost surely, 212531140160 is an apocalyptic number.

12531140160 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 12531140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24802039296).

12531140160 is an abundant number, since it is smaller than the sum of its proper divisors (37072938432).

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

12531140160 is a wasteful number, since it uses less digits than its factorization.

12531140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169561 (or 169551 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 12531140160 its reverse (6104113521), we get a palindrome (18635253681).

The spelling of 12531140160 in words is "twelve billion, five hundred thirty-one million, one hundred forty thousand, one hundred sixty".