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1306201304261 = 73789401141311
BaseRepresentation
bin10011000000011111101…
…010100010110011000101
311121212112102012100102202
4103000133222202303011
5132400100013214021
62440021031044245
7163240612615550
oct23003752426305
94555472170382
101306201304261
11463a58646937
12191198210685
1396235ab6049
1447312dd9697
1523e9d573a0b
hex1301faa2cc5

1306201304261 has 32 divisors (see below), whose sum is σ = 1554251120640. Its totient is φ = 1074408192000.

The previous prime is 1306201304257. The next prime is 1306201304279. The reversal of 1306201304261 is 1624031026031.

It is a cyclic number.

It is not a de Polignac number, because 1306201304261 - 22 = 1306201304257 is a prime.

It is a super-2 number, since 2×13062013042612 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306201304251) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9172796 + ... + 9314106.

It is an arithmetic number, because the mean of its divisors is an integer number (48570347520).

Almost surely, 21306201304261 is an apocalyptic number.

It is an amenable number.

1306201304261 is a deficient number, since it is larger than the sum of its proper divisors (248049816379).

1306201304261 is a wasteful number, since it uses less digits than its factorization.

1306201304261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141845.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 1306201304261 in words is "one trillion, three hundred six billion, two hundred one million, three hundred four thousand, two hundred sixty-one".

Divisors: 1 7 37 89 259 401 623 2807 3293 14837 23051 35689 103859 141311 249823 989177 1320493 5228507 9243451 12576679 36599549 56665711 88036753 396659977 465337123 2096631307 3257359861 5043248279 14676419149 35302737953 186600186323 1306201304261