Search a number
-
+
12223100313000 = 233453307491539
BaseRepresentation
bin1011000111011110100110…
…0011010101110110101000
31121021111221212200021110000
42301313221203111312220
53100230402140004000
641555114220023000
72401042551253563
oct261675143256650
947244855607400
1012223100313000
113992873520075
121454b03691a60
136a88307c1005
1430385ba214da
15162e3e3bc000
hexb1de98d5da8

12223100313000 has 320 divisors, whose sum is σ = 42865787764800. Its totient is φ = 3248869564800.

The previous prime is 12223100312993. The next prime is 12223100313019. The reversal of 12223100313000 is 31300132221.

12223100313000 is a `hidden beast` number, since 1 + 2 + 22 + 310 + 0 + 31 + 300 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 24621231 + ... + 25112769.

It is an arithmetic number, because the mean of its divisors is an integer number (133955586765).

Almost surely, 212223100313000 is an apocalyptic number.

12223100313000 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 12223100313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21432893882400).

12223100313000 is an abundant number, since it is smaller than the sum of its proper divisors (30642687451800).

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

12223100313000 is a wasteful number, since it uses less digits than its factorization.

12223100313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491879 (or 491856 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12223100313000 its reverse (31300132221), we get a palindrome (12254400445221).

The spelling of 12223100313000 in words is "twelve trillion, two hundred twenty-three billion, one hundred million, three hundred thirteen thousand".