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10122202002 = 2311219172997
BaseRepresentation
bin10010110110101010…
…01000101110010010
3222010102201010202110
421123111020232102
5131212240431002
64352225530150
7505560204003
oct113325105622
928112633673
1010122202002
1143247a0200
121b65aa3956
13c54105753
146c04931aa
153e399ae6c
hex25b548b92

10122202002 has 48 divisors (see below), whose sum is σ = 22368923136. Its totient is φ = 3051232800.

The previous prime is 10122202001. The next prime is 10122202039. The reversal of 10122202002 is 20020222101.

It is not an unprimeable number, because it can be changed into a prime (10122202001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102168 + ... + 175164.

It is an arithmetic number, because the mean of its divisors is an integer number (466019232).

Almost surely, 210122202002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184461568).

10122202002 is an abundant number, since it is smaller than the sum of its proper divisors (12246721134).

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

10122202002 is a wasteful number, since it uses less digits than its factorization.

10122202002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73215 (or 73204 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10122202002 its reverse (20020222101), we get a palindrome (30142424103).

The spelling of 10122202002 in words is "ten billion, one hundred twenty-two million, two hundred two thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 191 242 363 382 573 726 1146 2101 4202 6303 12606 23111 46222 69333 72997 138666 145994 218991 437982 802967 1605934 2408901 4817802 8832637 13942427 17665274 26497911 27884854 41827281 52995822 83654562 153366697 306733394 460100091 920200182 1687033667 3374067334 5061101001 10122202002