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10033210122 = 2313418935251
BaseRepresentation
bin10010101100000011…
…01010001100001010
3221220020020212211220
421112001222030022
5131022000210442
64335330302510
7503426610315
oct112601521412
927806225756
1010033210122
1142895382a1
121b40127a36
13c3b847630
146b272997c
153dac6ceec
hex25606a30a

10033210122 has 64 divisors (see below), whose sum is σ = 22386430080. Its totient is φ = 2977920000.

The previous prime is 10033210079. The next prime is 10033210123. The reversal of 10033210122 is 22101233001.

It is not an unprimeable number, because it can be changed into a prime (10033210123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266997 + ... + 302247.

It is an arithmetic number, because the mean of its divisors is an integer number (349787970).

Almost surely, 210033210122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10033210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11193215040).

10033210122 is an abundant number, since it is smaller than the sum of its proper divisors (12353219958).

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

10033210122 is a wasteful number, since it uses less digits than its factorization.

10033210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35399.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10033210122 its reverse (22101233001), we get a palindrome (32134443123).

The spelling of 10033210122 in words is "ten billion, thirty-three million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 89 123 178 246 267 533 534 1066 1157 1599 2314 3198 3471 3649 6942 7298 10947 21894 35251 47437 70502 94874 105753 142311 211506 284622 458263 916526 1374789 1445291 2749578 2890582 3137339 4335873 6274678 8671746 9412017 18788783 18824034 37577566 40785407 56366349 81570814 112732698 122356221 128630899 244712442 257261798 385892697 771785394 1672201687 3344403374 5016605061 10033210122