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10220012322 = 23132919932267
BaseRepresentation
bin10011000010010100…
…10000001100100010
3222101020202102021220
421201022100030202
5131412310343242
64410042155510
7511155446202
oct114112201442
928336672256
1010220012322
114374a26583
121b927b2b96
13c6b460690
146cd474402
153ec36bbec
hex261290322

10220012322 has 64 divisors (see below), whose sum is σ = 22792855680. Its totient is φ = 3033321984.

The previous prime is 10220012321. The next prime is 10220012371. The reversal of 10220012322 is 22321002201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10220012321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4507033 + ... + 4509299.

It is an arithmetic number, because the mean of its divisors is an integer number (356138370).

Almost surely, 210220012322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220012322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11396427840).

10220012322 is an abundant number, since it is smaller than the sum of its proper divisors (12572843358).

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

10220012322 is a wasteful number, since it uses less digits than its factorization.

10220012322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10220012322 its reverse (22321002201), we get a palindrome (32541014523).

The spelling of 10220012322 in words is "ten billion, two hundred twenty million, twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 1131 1993 2262 2267 3986 4534 5979 6801 11958 13602 25909 29471 51818 57797 58942 65743 77727 88413 115594 131486 155454 173391 176826 197229 346782 394458 751361 854659 1502722 1709318 2254083 2563977 4508166 4518131 5127954 9036262 13554393 27108786 58735703 117471406 131025799 176207109 262051598 352414218 393077397 786154794 1703335387 3406670774 5110006161 10220012322