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10122245322 = 2374320892683
BaseRepresentation
bin10010110110101010…
…10011010011001010
3222010102210100011220
421123111103103022
5131212243322242
64352230502510
7505560444210
oct113325232312
928112710156
1010122245322
11432481a802
121b65b04a36
13c5411c397
146c04a4cb0
153e39a8bec
hex25b5534ca

10122245322 has 64 divisors (see below), whose sum is σ = 23694781440. Its totient is φ = 2822408064.

The previous prime is 10122245321. The next prime is 10122245323. The reversal of 10122245322 is 22354222101.

10122245322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10122245321) and next prime (10122245323).

It is a junction number, because it is equal to n+sod(n) for n = 10122245292 and 10122245301.

It is not an unprimeable number, because it can be changed into a prime (10122245321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3771393 + ... + 3774075.

It is an arithmetic number, because the mean of its divisors is an integer number (370230960).

Almost surely, 210122245322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122245322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11847390720).

10122245322 is an abundant number, since it is smaller than the sum of its proper divisors (13572536118).

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

10122245322 is a wasteful number, since it uses less digits than its factorization.

10122245322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10122245322 its reverse (22354222101), we get a palindrome (32476467423).

The spelling of 10122245322 in words is "ten billion, one hundred twenty-two million, two hundred forty-five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1806 2089 2683 4178 5366 6267 8049 12534 14623 16098 18781 29246 37562 43869 56343 87738 89827 112686 115369 179654 230738 269481 346107 538962 628789 692214 807583 1257578 1615166 1886367 2422749 3772734 4845498 5604787 11209574 16814361 33628722 39233509 78467018 117700527 235401054 241005841 482011682 723017523 1446035046 1687040887 3374081774 5061122661 10122245322