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11243416261 = 7112967223337
BaseRepresentation
bin10100111100010100…
…01110101011000101
31002000120110201120111
422132022032223011
5141011303310021
65055401233021
7545423314150
oct123612165305
932016421514
1011243416261
11484a685060
122219492771
1310a24a343c
14789354c97
1545c1228e1
hex29e28eac5

11243416261 has 64 divisors (see below), whose sum is σ = 14827438080. Its totient is φ = 8270760960.

The previous prime is 11243416213. The next prime is 11243416309. The reversal of 11243416261 is 16261434211.

11243416261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11243416213) and next prime (11243416309).

It is a de Polignac number, because none of the positive numbers 2k-11243416261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11243417261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33363085 + ... + 33363421.

It is an arithmetic number, because the mean of its divisors is an integer number (231678720).

Almost surely, 211243416261 is an apocalyptic number.

11243416261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11243416261 is a deficient number, since it is larger than the sum of its proper divisors (3584021819).

11243416261 is a wasteful number, since it uses less digits than its factorization.

11243416261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674.

The product of its digits is 6912, while the sum is 31.

The spelling of 11243416261 in words is "eleven billion, two hundred forty-three million, four hundred sixteen thousand, two hundred sixty-one".

Divisors: 1 7 11 29 67 77 203 223 319 337 469 737 1561 1943 2233 2359 2453 3707 5159 6467 9773 13601 14941 17171 21373 22579 25949 45269 68411 71137 75151 104587 107503 149611 158053 164351 248369 433289 497959 526057 654791 752521 826661 1150457 1738583 2179379 3033023 4583537 4766179 5035117 5786627 7202701 15255653 23973169 33363253 35245819 50418907 55386287 146018393 167812183 387704009 1022128751 1606202323 11243416261