Search a number
-
+
12321002331000 = 233253111737241821
BaseRepresentation
bin1011001101001011010011…
…1101111001101101111000
31121121212122211121002102200
42303102310331321231320
53103331403044043000
642112105040030200
72411106631551516
oct263226475715570
947555584532380
1012321002331000
113a20342676250
12146ba86902360
136b4b3376b28c
143084a819d4b6
1516576e33c500
hexb34b4f79b78

12321002331000 has 1536 divisors, whose sum is σ = 49668808400640. Its totient is φ = 2720563200000.

The previous prime is 12321002330999. The next prime is 12321002331047. The reversal of 12321002331000 is 13320012321.

12321002331000 is a `hidden beast` number, since 1 + 232 + 100 + 2 + 331 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×123210023310002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15007310590 + ... + 15007311410.

Almost surely, 212321002331000 is an apocalyptic number.

12321002331000 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 12321002331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24834404200320).

12321002331000 is an abundant number, since it is smaller than the sum of its proper divisors (37347806069640).

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

12321002331000 is a wasteful number, since it uses less digits than its factorization.

12321002331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1137 counting only the distinct ones).

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

Adding to 12321002331000 its reverse (13320012321), we get a palindrome (12334322343321).

The spelling of 12321002331000 in words is "twelve trillion, three hundred twenty-one billion, two million, three hundred thirty-one thousand".