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1330000123320 = 233251121110971451
BaseRepresentation
bin10011010110101010001…
…011110101010110111000
311201010221222212121202200
4103112222023311112320
5133242320012421240
62454554342230200
7165042433342641
oct23265213652670
94633858777680
101330000123320
1147306043a940
1219591a425360
13985595036bb
144852da266c8
15248e2a75930
hex135aa2f55b8

1330000123320 has 384 divisors, whose sum is σ = 4745390158080. Its totient is φ = 320382720000.

The previous prime is 1330000123279. The next prime is 1330000123339. The reversal of 1330000123320 is 233210000331.

1330000123320 is a `hidden beast` number, since 1 + 330 + 0 + 0 + 0 + 1 + 2 + 332 + 0 = 666.

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 = 1330000123293 and 1330000123302.

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, 916608595 + ... + 916610045.

It is an arithmetic number, because the mean of its divisors is an integer number (12357786870).

Almost surely, 21330000123320 is an apocalyptic number.

1330000123320 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 1330000123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372695079040).

1330000123320 is an abundant number, since it is smaller than the sum of its proper divisors (3415390034760).

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

1330000123320 is a wasteful number, since it uses less digits than its factorization.

1330000123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1330000123320 its reverse (233210000331), we get a palindrome (1563210123651).

The spelling of 1330000123320 in words is "one trillion, three hundred thirty billion, one hundred twenty-three thousand, three hundred twenty".