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1331160066132 = 2231334740916011
BaseRepresentation
bin10011010111101111010…
…100101010100001010100
311201020221211111211011120
4103113233110222201110
5133302203434104012
62455305420003540
7165113246604261
oct23275724524124
94636854454146
101331160066132
114735a6177066
12195ba29905b0
13986b29112b0
14485ddaca268
152495e7ec58c
hex135ef52a854

1331160066132 has 96 divisors (see below), whose sum is σ = 3355984203264. Its totient is φ = 408239587200.

The previous prime is 1331160066107. The next prime is 1331160066143. The reversal of 1331160066132 is 2316600611331.

It is a super-2 number, since 2×13311600661322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331160066093 and 1331160066102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221451007 + ... + 221457017.

It is an arithmetic number, because the mean of its divisors is an integer number (34958168784).

Almost surely, 21331160066132 is an apocalyptic number.

1331160066132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331160066132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677992101632).

1331160066132 is an abundant number, since it is smaller than the sum of its proper divisors (2024824137132).

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

1331160066132 is a wasteful number, since it uses less digits than its factorization.

1331160066132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

Adding to 1331160066132 its reverse (2316600611331), we get a palindrome (3647760677463).

The spelling of 1331160066132 in words is "one trillion, three hundred thirty-one billion, one hundred sixty million, sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 347 694 1041 1388 2082 4091 4164 4511 6011 8182 9022 12022 12273 13533 16364 18033 18044 24044 24546 27066 36066 49092 53183 54132 72132 78143 106366 156286 159549 212732 234429 312572 319098 468858 638196 937716 1419577 2085817 2839154 4171634 4258731 5678308 6257451 8343268 8517462 12514902 17034924 18454501 24591001 25029804 27115621 36909002 49182002 54231242 55363503 73773003 73818004 81346863 98364004 108462484 110727006 147546006 162693726 221454012 295092012 319683013 325387452 639366026 959049039 1278732052 1918098078 3836196156 8533077347 17066154694 25599232041 34132309388 51198464082 102396928164 110930005511 221860011022 332790016533 443720022044 665580033066 1331160066132