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10232211311 = 72171273112
BaseRepresentation
bin10011000011110001…
…10010011101101111
3222102002201012011022
421201320302131233
5131423421230221
64411155444355
7511364234600
oct114170623557
928362635138
1010232211311
1143808a8893
121b968b66bb
13c70b4210a
146d0d2bda7
153ed47b4ab
hex261e3276f

10232211311 has 36 divisors (see below), whose sum is σ = 12743149824. Its totient is φ = 8163227520.

The previous prime is 10232211233. The next prime is 10232211337. The reversal of 10232211311 is 11311223201.

It is not a de Polignac number, because 10232211311 - 230 = 9158469487 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10232211311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232211211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32900846 + ... + 32901156.

It is an arithmetic number, because the mean of its divisors is an integer number (353976384).

Almost surely, 210232211311 is an apocalyptic number.

10232211311 is a deficient number, since it is larger than the sum of its proper divisors (2510938513).

10232211311 is an equidigital number, since it uses as much as digits as its factorization.

10232211311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10232211311 its reverse (11311223201), we get a palindrome (21543434512).

The spelling of 10232211311 in words is "ten billion, two hundred thirty-two million, two hundred eleven thousand, three hundred eleven".

Divisors: 1 7 17 49 119 127 311 833 889 2159 2177 5287 6223 15113 15239 37009 39497 96721 105791 259063 276479 671449 677047 1644257 1935353 4700143 4739329 11509799 12283567 32901001 80568593 85984969 208820639 601894783 1461744473 10232211311