Search a number
-
+
12310010131020 = 22357499173333893
BaseRepresentation
bin1011001100100010010111…
…0001111111001001001100
31121120211021202211110210220
42303020211301333021030
53103141400043143040
642103050211031340
72410240345443330
oct263104561771114
947524252743726
1012310010131020
113a16711885758
12146991959b550
136b3aa1345034
14307b4435d7c0
151653292de2d0
hexb3225c7f24c

12310010131020 has 192 divisors, whose sum is σ = 39494915712000. Its totient is φ = 2806374730752.

The previous prime is 12310010130989. The next prime is 12310010131073. The reversal of 12310010131020 is 2013101001321.

It is a happy number.

12310010131020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363185194 + ... + 363219086.

It is an arithmetic number, because the mean of its divisors is an integer number (205702686000).

Almost surely, 212310010131020 is an apocalyptic number.

12310010131020 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 12310010131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19747457856000).

12310010131020 is an abundant number, since it is smaller than the sum of its proper divisors (27184905580980).

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

12310010131020 is a wasteful number, since it uses less digits than its factorization.

12310010131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36144 (or 36142 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12310010131020 its reverse (2013101001321), we get a palindrome (14323111132341).

The spelling of 12310010131020 in words is "twelve trillion, three hundred ten billion, ten million, one hundred thirty-one thousand, twenty".