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11292119311 = 111954029279
BaseRepresentation
bin10101000010001000…
…00001000100001111
31002010222010002121011
422201010001010033
5141111240304221
65104301150051
7546554300434
oct124104010417
932128102534
1011292119311
11487511a410
12223185b327
1310ac5c6405
147919d1b8b
154615431e1
hex2a110110f

11292119311 has 8 divisors (see below), whose sum is σ = 12967027200. Its totient is φ = 9725270040.

The previous prime is 11292119291. The next prime is 11292119317. The reversal of 11292119311 is 11391129211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11292119311 is a prime.

It is a super-2 number, since 2×112921193112 (a number of 21 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 (11292119317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27014431 + ... + 27014848.

It is an arithmetic number, because the mean of its divisors is an integer number (1620878400).

Almost surely, 211292119311 is an apocalyptic number.

11292119311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11292119311 is a deficient number, since it is larger than the sum of its proper divisors (1674907889).

11292119311 is a wasteful number, since it uses less digits than its factorization.

11292119311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54029309.

The product of its digits is 972, while the sum is 31.

The spelling of 11292119311 in words is "eleven billion, two hundred ninety-two million, one hundred nineteen thousand, three hundred eleven".

Divisors: 1 11 19 209 54029279 594322069 1026556301 11292119311