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12013202331000 = 23325313149689107
BaseRepresentation
bin1010111011010000101010…
…1010000101010101111000
31120112110011201121000012200
42232310022222011111320
53033311014244043000
641314442225510200
72346632231663313
oct256641252052570
946473151530180
1012013202331000
113911852594562
1214202a51a2360
13691abc983870
142d762917597a
1515c756edc500
hexaed0aa85578

12013202331000 has 384 divisors, whose sum is σ = 44021597256000. Its totient is φ = 2937245414400.

The previous prime is 12013202330993. The next prime is 12013202331019. The reversal of 12013202331000 is 13320231021.

12013202331000 is a `hidden beast` number, since 12 + 0 + 1 + 320 + 2 + 331 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×120132023310002 (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 95 ways as a sum of consecutive naturals, for example, 17088447 + ... + 17777553.

Almost surely, 212013202331000 is an apocalyptic number.

12013202331000 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 12013202331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22010798628000).

12013202331000 is an abundant number, since it is smaller than the sum of its proper divisors (32008394925000).

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

12013202331000 is a wasteful number, since it uses less digits than its factorization.

12013202331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689296 (or 689279 counting only the distinct ones).

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

Adding to 12013202331000 its reverse (13320231021), we get a palindrome (12026522562021).

The spelling of 12013202331000 in words is "twelve trillion, thirteen billion, two hundred two million, three hundred thirty-one thousand".