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11212120413 = 3313277115319
BaseRepresentation
bin10100111000100101…
…10110000101011101
31001221101120201202000
422130102312011131
5140430300323123
65052322352513
7544563310464
oct123422660535
931841521660
1011212120413
114833a4a01a
12220aabb739
131098b666a0
147851299db
154594deb43
hex29c4b615d

11212120413 has 32 divisors (see below), whose sum is σ = 17953017600. Its totient is φ = 6874797888.

The previous prime is 11212120411. The next prime is 11212120421. The reversal of 11212120413 is 31402121211.

11212120413 is a `hidden beast` number, since 112 + 121 + 20 + 413 = 666.

11212120413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11212120413 - 21 = 11212120411 is a prime.

It is a super-2 number, since 2×112121204132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212120411) 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 31 ways as a sum of consecutive naturals, for example, 39568 + ... + 154886.

It is an arithmetic number, because the mean of its divisors is an integer number (561031800).

Almost surely, 211212120413 is an apocalyptic number.

11212120413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11212120413 is a deficient number, since it is larger than the sum of its proper divisors (6740897187).

11212120413 is a wasteful number, since it uses less digits than its factorization.

11212120413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115618 (or 115612 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11212120413 its reverse (31402121211), we get a palindrome (42614241624).

The spelling of 11212120413 in words is "eleven billion, two hundred twelve million, one hundred twenty thousand, four hundred thirteen".

Divisors: 1 3 9 13 27 39 117 277 351 831 2493 3601 7479 10803 32409 97227 115319 345957 1037871 1499147 3113613 4497441 13492323 31943363 40476969 95830089 287490267 415263719 862470801 1245791157 3737373471 11212120413