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822131131228 = 2211151123740387
BaseRepresentation
bin10111111011010101101…
…01011000001101011100
32220121001201202200200121
423331222311120031130
5101432211032144403
61425403135204324
7113253114212341
oct13755265301534
92817051680617
10822131131228
112977336551a0
121134020766a4
135c6b0021cb4
142bb116bc7c8
15165bb1c43bd
hexbf6ad5835c

822131131228 has 24 divisors (see below), whose sum is σ = 1579917273984. Its totient is φ = 371221158000.

The previous prime is 822131131223. The next prime is 822131131247.

822131131228 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 822131131193 and 822131131202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822131131223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61863550 + ... + 61876837.

It is an arithmetic number, because the mean of its divisors is an integer number (65829886416).

Almost surely, 2822131131228 is an apocalyptic number.

It is an amenable number.

822131131228 is a deficient number, since it is larger than the sum of its proper divisors (757786142756).

822131131228 is a wasteful number, since it uses less digits than its factorization.

822131131228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123740553 (or 123740551 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

It can be divided in two parts, 822131 and 131228, that added together give a palindrome (953359).

The spelling of 822131131228 in words is "eight hundred twenty-two billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred twenty-eight".

Divisors: 1 2 4 11 22 44 151 302 604 1661 3322 6644 123740387 247480774 494961548 1361144257 2722288514 5444577028 18684798437 37369596874 74739193748 205532782807 411065565614 822131131228