Search a number
-
+
12319579740281 = 1117194197786561
BaseRepresentation
bin1011001101000110000000…
…1011001001100001111001
31121121201222200201222211112
42303101200023021201321
53103320444403142111
642111311541010105
72411026445666642
oct263214013114171
947551880658745
1012319579740281
113a1a782657840
12146b74a3b3935
136b4967b10118
143083b128a6c9
151656d94d3e8b
hexb34602c9879

12319579740281 has 64 divisors (see below), whose sum is σ = 15360281475840. Its totient is φ = 9732390912000.

The previous prime is 12319579740241. The next prime is 12319579740283. The reversal of 12319579740281 is 18204797591321.

It is a cyclic number.

It is not a de Polignac number, because 12319579740281 - 238 = 12044701833337 is a prime.

It is a super-2 number, since 2×123195797402812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12319579740281.

It is not an unprimeable number, because it can be changed into a prime (12319579740283) 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 63 ways as a sum of consecutive naturals, for example, 142279241 + ... + 142365801.

It is an arithmetic number, because the mean of its divisors is an integer number (240004398060).

Almost surely, 212319579740281 is an apocalyptic number.

12319579740281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12319579740281 is a deficient number, since it is larger than the sum of its proper divisors (3040701735559).

12319579740281 is a wasteful number, since it uses less digits than its factorization.

12319579740281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87626.

The product of its (nonzero) digits is 7620480, while the sum is 59.

The spelling of 12319579740281 in words is "twelve trillion, three hundred nineteen billion, five hundred seventy-nine million, seven hundred forty thousand, two hundred eighty-one".

Divisors: 1 11 17 19 41 187 209 323 451 697 779 977 3553 7667 8569 10747 13243 16609 18563 40057 86561 145673 182699 204193 315571 440627 680969 761083 952171 1471537 1644659 3471281 3549001 7490659 8371913 12938411 16186907 18091249 27959203 39039011 60333017 67431019 84570097 142322521 307551233 663663187 741741209 930271067 1146327323 1437691649 1606831843 3467373977 12609600553 15814608139 17675150273 27316141331 38141113747 58945357609 65880105563 300477554641 648398933699 724681161193 1119961794571 12319579740281