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11222112312 = 2332155862671
BaseRepresentation
bin10100111001110001…
…11101100000111000
31001222002101101001100
422130320331200320
5140440330043222
65053320451400
7545044244415
oct123470754070
931862341040
1011222112312
114839654094
122212319b60
13109ac54658
147865ab10c
1545a3154ac
hex29ce3d838

11222112312 has 24 divisors (see below), whose sum is σ = 30393221040. Its totient is φ = 3740704080.

The previous prime is 11222112299. The next prime is 11222112347. The reversal of 11222112312 is 21321122211.

11222112312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 77931264 + ... + 77931407.

It is an arithmetic number, because the mean of its divisors is an integer number (1266384210).

Almost surely, 211222112312 is an apocalyptic number.

11222112312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11222112312 is an abundant number, since it is smaller than the sum of its proper divisors (19171108728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11222112312 is a wasteful number, since it uses less digits than its factorization.

11222112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155862683 (or 155862676 counting only the distinct ones).

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

Adding to 11222112312 its reverse (21321122211), we get a palindrome (32543234523).

The spelling of 11222112312 in words is "eleven billion, two hundred twenty-two million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 155862671 311725342 467588013 623450684 935176026 1246901368 1402764039 1870352052 2805528078 3740704104 5611056156 11222112312