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1332313303311 = 3217191317143821
BaseRepresentation
bin10011011000110100000…
…011111010100100001111
311201100221012112100011200
4103120310003322210033
5133312034201201221
62500020053520543
7165153652136634
oct23306403724417
94640835470150
101332313303311
11474038143241
12196265043153
1398837811963
14486acd2618b
15249cab9c426
hex136340fa90f

1332313303311 has 48 divisors (see below), whose sum is σ = 2054799871488. Its totient is φ = 828955468800.

The previous prime is 1332313303289. The next prime is 1332313303339. The reversal of 1332313303311 is 1133033132331.

1332313303311 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 313 + 30 + 3 + 311 = 666.

It is not a de Polignac number, because 1332313303311 - 27 = 1332313303183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332313303411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9191781 + ... + 9335601.

It is an arithmetic number, because the mean of its divisors is an integer number (42808330656).

Almost surely, 21332313303311 is an apocalyptic number.

1332313303311 is a deficient number, since it is larger than the sum of its proper divisors (722486568177).

1332313303311 is a wasteful number, since it uses less digits than its factorization.

1332313303311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144352 (or 144349 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 1332313303311 its reverse (1133033132331), we get a palindrome (2465346435642).

The spelling of 1332313303311 in words is "one trillion, three hundred thirty-two billion, three hundred thirteen million, three hundred three thousand, three hundred eleven".

Divisors: 1 3 9 17 51 153 191 317 573 951 1719 2853 3247 5389 9741 16167 29223 48501 60547 143821 181641 431463 544923 1029299 1294389 2444957 3087897 7334871 9263691 22004613 27469811 45591257 82409433 136773771 247228299 410321313 466986787 775051369 1400960361 2325154107 4202881083 6975462321 8707930087 26123790261 78371370783 148034811479 444104434437 1332313303311