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11221103131 = 753101347863
BaseRepresentation
bin10100111001101010…
…00111001000011011
31001222000111002201021
422130311013020123
5140440100300011
65053243103311
7545032542250
oct123465071033
931860432637
1011221103131
114839024957
122211b11b37
13109a9901c4
147863c7427
1545a1b6471
hex29cd4721b

11221103131 has 32 divisors (see below), whose sum is σ = 13248811008. Its totient is φ = 9305462400.

The previous prime is 11221103123. The next prime is 11221103143. The reversal of 11221103131 is 13130112211.

It is a happy number.

11221103131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11221103131 - 23 = 11221103123 is a prime.

It is a super-2 number, since 2×112211031312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11221163131) 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, 13002006 + ... + 13002868.

It is an arithmetic number, because the mean of its divisors is an integer number (414025344).

Almost surely, 211221103131 is an apocalyptic number.

11221103131 is a deficient number, since it is larger than the sum of its proper divisors (2027707877).

11221103131 is a wasteful number, since it uses less digits than its factorization.

11221103131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11221103131 its reverse (13130112211), we get a palindrome (24351215342).

The spelling of 11221103131 in words is "eleven billion, two hundred twenty-one million, one hundred three thousand, one hundred thirty-one".

Divisors: 1 7 53 101 347 371 707 863 2429 5353 6041 18391 35047 37471 45739 87163 128737 245329 299461 320173 610141 1857491 2096227 4619639 13002437 15871433 30245561 32337473 111100031 211718927 1603014733 11221103131