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10122242130 = 23257311132293
BaseRepresentation
bin10010110110101010…
…10010100001010010
3222010102210011210200
421123111102201102
5131212243222010
64352230440030
7505560432000
oct113325224122
928112704720
1010122242130
114324818370
121b65b03016
13c5411aab0
146c04a3a70
153e39a7cc0
hex25b552852

10122242130 has 384 divisors, whose sum is σ = 36072691200. Its totient is φ = 1940682240.

The previous prime is 10122242093. The next prime is 10122242131. The reversal of 10122242130 is 3124222101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10122242131) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4413264 + ... + 4415556.

It is an arithmetic number, because the mean of its divisors is an integer number (93939300).

Almost surely, 210122242130 is an apocalyptic number.

10122242130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122242130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18036345600).

10122242130 is an abundant number, since it is smaller than the sum of its proper divisors (25950449070).

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

10122242130 is a wasteful number, since it uses less digits than its factorization.

10122242130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10122242130 its reverse (3124222101), we get a palindrome (13246464231).

It can be divided in two parts, 10122 and 242130, that added together give a palindrome (252252).

The spelling of 10122242130 in words is "ten billion, one hundred twenty-two million, two hundred forty-two thousand, one hundred thirty".