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10122202200 = 2335211972163
BaseRepresentation
bin10010110110101010…
…01000110001011000
3222010102201011000210
421123111020301120
5131212240432300
64352225531120
7505560204405
oct113325106130
928112634023
1010122202200
1143247a0370
121b65aa3aa0
13c54105876
146c04932ac
153e399b050
hex25b548c58

10122202200 has 288 divisors, whose sum is σ = 34800183360. Its totient is φ = 2413670400.

The previous prime is 10122202187. The next prime is 10122202213. The reversal of 10122202200 is 220222101.

It is an interprime number because it is at equal distance from previous prime (10122202187) and next prime (10122202213).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62099319 + ... + 62099481.

It is an arithmetic number, because the mean of its divisors is an integer number (120833970).

Almost surely, 210122202200 is an apocalyptic number.

10122202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17400091680).

10122202200 is an abundant number, since it is smaller than the sum of its proper divisors (24677981160).

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

10122202200 is a wasteful number, since it uses less digits than its factorization.

10122202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 281 counting only the distinct ones).

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

Adding to 10122202200 its reverse (220222101), we get a palindrome (10342424301).

The spelling of 10122202200 in words is "ten billion, one hundred twenty-two million, two hundred two thousand, two hundred".