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1330131000191 = 72310975795259
BaseRepresentation
bin10011010110110001111…
…111000101101101111111
311201011022010010212002012
4103112301333011231333
5133243102014001231
62455015335321435
7165045612645110
oct23266177055577
94634263125065
101330131000191
11473118300644
1219595622027b
139857a668336
1448543174207
15248ee2c8e2b
hex135b1fc5b7f

1330131000191 has 16 divisors (see below), whose sum is σ = 1600795891200. Its totient is φ = 1080537198048.

The previous prime is 1330131000109. The next prime is 1330131000199. The reversal of 1330131000191 is 1910001310331.

It is not a de Polignac number, because 1330131000191 - 230 = 1329057258367 is a prime.

It is a super-2 number, since 2×13301310001912 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330131000199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37880081 + ... + 37915178.

It is an arithmetic number, because the mean of its divisors is an integer number (100049743200).

Almost surely, 21330131000191 is an apocalyptic number.

1330131000191 is a deficient number, since it is larger than the sum of its proper divisors (270664891009).

1330131000191 is a wasteful number, since it uses less digits than its factorization.

1330131000191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75795398.

The product of its (nonzero) digits is 243, while the sum is 23.

The spelling of 1330131000191 in words is "one trillion, three hundred thirty billion, one hundred thirty-one million, one hundred ninety-one", and thus it is an aban number.

Divisors: 1 7 23 109 161 763 2507 17549 75795259 530566813 1743290957 8261683231 12203036699 57831782617 190018714313 1330131000191