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1314231313311 = 327792239117937
BaseRepresentation
bin10011000111111110010…
…010100110001110011111
311122122021001002002000100
4103013332102212032133
5133013021204011221
62443425522032143
7163643606562630
oct23077622461637
94578231062010
101314231313311
114673a9350554
121928594a8653
1396c156052a7
1447875675887
15242bd4ea926
hex131fe4a639f

1314231313311 has 48 divisors (see below), whose sum is σ = 2197986918400. Its totient is φ = 741145676544.

The previous prime is 1314231313301. The next prime is 1314231313333. The reversal of 1314231313311 is 1133131324131.

1314231313311 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 31 + 313 + 311 = 666.

It is not a de Polignac number, because 1314231313311 - 27 = 1314231313183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314231313301) 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, 11084535 + ... + 11202471.

Almost surely, 21314231313311 is an apocalyptic number.

1314231313311 is a deficient number, since it is larger than the sum of its proper divisors (883755605089).

1314231313311 is a wasteful number, since it uses less digits than its factorization.

1314231313311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120268 (or 120265 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 1314231313311 its reverse (1133131324131), we get a palindrome (2447362637442).

The spelling of 1314231313311 in words is "one trillion, three hundred fourteen billion, two hundred thirty-one million, three hundred thirteen thousand, three hundred eleven".

Divisors: 1 3 7 9 21 63 79 237 553 711 1659 2239 4977 6717 15673 20151 47019 117937 141057 176881 353811 530643 825559 1061433 1238167 1591929 2476677 3714501 7430031 9317023 11143503 27951069 65219161 83853207 195657483 264060943 586972449 792182829 1848426601 2376548487 5545279803 16635839409 20860814497 62582443491 146025701479 187747330473 438077104437 1314231313311