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10320311221 = 112574338431
BaseRepresentation
bin10011001110010001…
…10111001110110101
3222122020111010111221
421213020313032311
5132113444424341
64424024030341
7513514124623
oct114710671665
928566433457
1010320311221
114416601630
1220003023b1
13c8617a23c
146dc902513
1540607eed1
hex2672373b5

10320311221 has 16 divisors (see below), whose sum is σ = 11329774848. Its totient is φ = 9322905600.

The previous prime is 10320311219. The next prime is 10320311231. The reversal of 10320311221 is 12211302301.

It is a cyclic number.

It is not a de Polignac number, because 10320311221 - 21 = 10320311219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10320311195 and 10320311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320311231) 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 15 ways as a sum of consecutive naturals, for example, 1219876 + ... + 1228306.

It is an arithmetic number, because the mean of its divisors is an integer number (708110928).

Almost surely, 210320311221 is an apocalyptic number.

10320311221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10320311221 is a deficient number, since it is larger than the sum of its proper divisors (1009463627).

10320311221 is a wasteful number, since it uses less digits than its factorization.

10320311221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9132.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10320311221 its reverse (12211302301), we get a palindrome (22531613522).

The spelling of 10320311221 in words is "ten billion, three hundred twenty million, three hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 257 433 2827 4763 8431 92741 111281 1224091 2166767 3650623 23834437 40156853 938210111 10320311221