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1306131246132 = 2231076203163991
BaseRepresentation
bin10011000000011011011…
…111010010110000110100
311121212100112101000202020
4103000123133102300310
5132344424044334012
62440010045313140
7163236102260466
oct23003337226064
94555315330666
101306131246132
11463a22046159
121911788657b0
1396224426c2b
14473079a0136
1523e97335a8c
hex1301b7d2c34

1306131246132 has 48 divisors (see below), whose sum is σ = 3076636856832. Its totient is φ = 431235975520.

The previous prime is 1306131246113. The next prime is 1306131246151. The reversal of 1306131246132 is 2316421316031.

It is an interprime number because it is at equal distance from previous prime (1306131246113) and next prime (1306131246151).

It is a super-2 number, since 2×13061312461322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1306131246093 and 1306131246102.

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, 7882657 + ... + 8046647.

It is an arithmetic number, because the mean of its divisors is an integer number (64096601184).

Almost surely, 21306131246132 is an apocalyptic number.

1306131246132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1306131246132 is an abundant number, since it is smaller than the sum of its proper divisors (1770505610700).

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

1306131246132 is a wasteful number, since it uses less digits than its factorization.

1306131246132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170308 (or 170306 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 1306131246132 in words is "one trillion, three hundred six billion, one hundred thirty-one million, two hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 107 214 321 428 642 1284 6203 12406 18609 24812 37218 74436 163991 327982 491973 655964 663721 983946 1327442 1967892 1991163 2654884 3982326 7964652 17547037 35094074 52641111 70188148 105282222 210564444 1017236173 2034472346 3051708519 4068944692 6103417038 12206834076 108844270511 217688541022 326532811533 435377082044 653065623066 1306131246132