Search a number
-
+
12232313313000 = 23353117110151691
BaseRepresentation
bin1011001000000000111010…
…1100001001011011101000
31121022101201221120011112020
42302000032230021123220
53100403234202004000
642003240330344440
72401520061415104
oct262001654113350
947271657504466
1012232313313000
113996770a73360
121456854b8b120
136a966b42a7c1
14304093440904
151632cd11eba0
hexb200eb096e8

12232313313000 has 512 divisors, whose sum is σ = 42639597711360. Its totient is φ = 2894640000000.

The previous prime is 12232313312971. The next prime is 12232313313007. The reversal of 12232313313000 is 31331323221.

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

It is not an unprimeable number, because it can be changed into a prime (12232313313007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 236617155 + ... + 236668845.

It is an arithmetic number, because the mean of its divisors is an integer number (83280464280).

Almost surely, 212232313313000 is an apocalyptic number.

12232313313000 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 12232313313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21319798855680).

12232313313000 is an abundant number, since it is smaller than the sum of its proper divisors (30407284398360).

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

12232313313000 is a wasteful number, since it uses less digits than its factorization.

12232313313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51898 (or 51884 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12232313313000 its reverse (31331323221), we get a palindrome (12263644636221).

The spelling of 12232313313000 in words is "twelve trillion, two hundred thirty-two billion, three hundred thirteen million, three hundred thirteen thousand".