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1313322231132 = 223337328659217
BaseRepresentation
bin10011000111001000000…
…110101110010101011100
311122112220200110220201000
4103013020012232111130
5133004140442344012
62443155405150300
7163612230526362
oct23071006562534
94575820426630
101313322231132
11466a8218566a
12192644b5b390
1396acc17ba42
14477caa33632
15242687c7ddc
hex131c81ae55c

1313322231132 has 48 divisors (see below), whose sum is σ = 3496934079520. Its totient is φ = 425942343936.

The previous prime is 1313322231083. The next prime is 1313322231157. The reversal of 1313322231132 is 2311322233131.

1313322231132 is a `hidden beast` number, since 1 + 313 + 3 + 2 + 2 + 2 + 311 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1313322231096 and 1313322231105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164325613 + ... + 164333604.

Almost surely, 21313322231132 is an apocalyptic number.

1313322231132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313322231132 is an abundant number, since it is smaller than the sum of its proper divisors (2183611848388).

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

1313322231132 is a wasteful number, since it uses less digits than its factorization.

1313322231132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328659267 (or 328659259 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1313322231132 its reverse (2311322233131), we get a palindrome (3624644464263).

The spelling of 1313322231132 in words is "one trillion, three hundred thirteen billion, three hundred twenty-two million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 328659217 657318434 985977651 1314636868 1971955302 2957932953 3943910604 5915865906 8873798859 11831731812 12160391029 17747597718 24320782058 35495195436 36481173087 48641564116 72962346174 109443519261 145924692348 218887038522 328330557783 437774077044 656661115566 1313322231132