Search a number
-
+
12001013131320 = 23325251478927733
BaseRepresentation
bin1010111010100011010000…
…0111111110100000111000
31120111021201020110111200200
42232220310013332200320
53033111033330200240
641305104521002200
72346021202334103
oct256506407764070
946437636414620
1012001013131320
113907668057414
121419a63023360
136908c9576985
142d6bd038773a
1515c291d47930
hexaea341fe838

12001013131320 has 192 divisors, whose sum is σ = 39168273362400. Its totient is φ = 3186739584000.

The previous prime is 12001013131297. The next prime is 12001013131379. The reversal of 12001013131320 is 2313131010021.

12001013131320 is a `hidden beast` number, since 1 + 20 + 0 + 10 + 1 + 313 + 1 + 320 = 666.

12001013131320 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12001013131293 and 12001013131302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432720174 + ... + 432747906.

Almost surely, 212001013131320 is an apocalyptic number.

12001013131320 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 12001013131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584136681200).

12001013131320 is an abundant number, since it is smaller than the sum of its proper divisors (27167260231080).

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

12001013131320 is a wasteful number, since it uses less digits than its factorization.

12001013131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32790 (or 32783 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12001013131320 its reverse (2313131010021), we get a palindrome (14314144141341).

The spelling of 12001013131320 in words is "twelve trillion, one billion, thirteen million, one hundred thirty-one thousand, three hundred twenty".