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1131131301309 = 327173199121853
BaseRepresentation
bin10000011101011100101…
…011011110110110111101
311000010122111002201202100
4100131130223132312331
5122013024103120214
62223345021215313
7144502326264642
oct20353453366675
94003574081670
101131131301309
113a678a149489
12163279701539
1382885660419
143ca65c7bdc9
151e653a95309
hex1075cadedbd

1131131301309 has 48 divisors (see below), whose sum is σ = 1688019091200. Its totient is φ = 729591287040.

The previous prime is 1131131301301. The next prime is 1131131301319. The reversal of 1131131301309 is 9031031311311.

1131131301309 is a `hidden beast` number, since 1 + 1 + 311 + 313 + 0 + 1 + 30 + 9 = 666.

It is not a de Polignac number, because 1131131301309 - 23 = 1131131301301 is a prime.

It is a super-2 number, since 2×11311313013092 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131131301301) 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, 9221827 + ... + 9343679.

It is an arithmetic number, because the mean of its divisors is an integer number (35167064400).

Almost surely, 21131131301309 is an apocalyptic number.

It is an amenable number.

1131131301309 is a deficient number, since it is larger than the sum of its proper divisors (556887789891).

1131131301309 is a wasteful number, since it uses less digits than its factorization.

1131131301309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122202 (or 122199 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The spelling of 1131131301309 in words is "one trillion, one hundred thirty-one billion, one hundred thirty-one million, three hundred one thousand, three hundred nine".

Divisors: 1 3 9 71 73 199 213 219 597 639 657 1791 5183 14129 14527 15549 42387 43581 46647 121853 127161 130743 365559 1031417 1096677 3094251 8651563 8895269 9282753 24248747 25954689 26685807 72746241 77864067 80057421 218238723 631564099 1721661037 1770158531 1894692297 5164983111 5310475593 5684076891 15494949333 15931426779 125681255701 377043767103 1131131301309