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10130242122 = 2327111319127233
BaseRepresentation
bin10010110111100111…
…10011101001001010
3222010222211121201200
421123303303221022
5131221320221442
64353114125030
7506015431410
oct113363635112
928128747650
1010130242122
114329291930
121b68720776
13c5598c210
146c15872b0
153e453834c
hex25bcf3a4a

10130242122 has 384 divisors, whose sum is σ = 31399280640. Its totient is φ = 2273080320.

The previous prime is 10130242069. The next prime is 10130242159. The reversal of 10130242122 is 22124203101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10130242095 and 10130242104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43477318 + ... + 43477550.

It is an arithmetic number, because the mean of its divisors is an integer number (81768960).

Almost surely, 210130242122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130242122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15699640320).

10130242122 is an abundant number, since it is smaller than the sum of its proper divisors (21269038518).

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

10130242122 is a wasteful number, since it uses less digits than its factorization.

10130242122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 415 counting only the distinct ones).

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

Adding to 10130242122 its reverse (22124203101), we get a palindrome (32254445223).

It can be divided in two parts, 10130 and 242122, that added together give a palindrome (252252).

The spelling of 10130242122 in words is "ten billion, one hundred thirty million, two hundred forty-two thousand, one hundred twenty-two".