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1330130332141 = 136114911257313
BaseRepresentation
bin10011010110110001111…
…100100010100111101101
311201011022001212220200121
4103112301330202213231
5133243101331112031
62455015313124541
7165045604163332
oct23266174424755
94634261786617
101330130332141
11473117994736
12195955b59751
139857a493240
144854303c989
15248ee1e6011
hex135b1f229ed

1330130332141 has 16 divisors (see below), whose sum is σ = 1465702282800. Its totient is φ = 1199579166720.

The previous prime is 1330130332129. The next prime is 1330130332147. The reversal of 1330130332141 is 1412330310331.

It can be written as a sum of positive squares in 8 ways, for example, as 651928671241 + 678201660900 = 807421^2 + 823530^2 .

It is a cyclic number.

It is not a de Polignac number, because 1330130332141 - 215 = 1330130299373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330130332147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5510500 + ... + 5746813.

It is an arithmetic number, because the mean of its divisors is an integer number (91606392675).

Almost surely, 21330130332141 is an apocalyptic number.

It is an amenable number.

1330130332141 is a deficient number, since it is larger than the sum of its proper divisors (135571950659).

1330130332141 is a wasteful number, since it uses less digits than its factorization.

1330130332141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11257536.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1330130332141 its reverse (1412330310331), we get a palindrome (2742460642472).

The spelling of 1330130332141 in words is "one trillion, three hundred thirty billion, one hundred thirty million, three hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 13 61 149 793 1937 9089 118157 11257313 146345069 686696093 1677339637 8927049209 21805415281 102317717857 1330130332141