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1330002102000 = 2435311131550119
BaseRepresentation
bin10011010110101010010…
…011011000011011110000
311201010222010121011000010
4103112222103120123300
5133242321014231000
62454554452454520
7165042456223455
oct23265223303360
94633863534003
101330002102000
11473061571510
1219591b01a440
1398559a47210
144852ddbd82c
15248e2d16d50
hex135aa4d86f0

1330002102000 has 320 divisors, whose sum is σ = 5037567575040. Its totient is φ = 297622656000.

The previous prime is 1330002101977. The next prime is 1330002102017. The reversal of 1330002102000 is 2012000331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82941 + ... + 1633059.

It is an arithmetic number, because the mean of its divisors is an integer number (15742398672).

Almost surely, 21330002102000 is an apocalyptic number.

1330002102000 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 1330002102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518783787520).

1330002102000 is an abundant number, since it is smaller than the sum of its proper divisors (3707565473040).

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

1330002102000 is a wasteful number, since it uses less digits than its factorization.

1330002102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550169 (or 1550153 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1330002102000 its reverse (2012000331), we get a palindrome (1332014102331).

The spelling of 1330002102000 in words is "one trillion, three hundred thirty billion, two million, one hundred two thousand".