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10242422412 = 22317215119559
BaseRepresentation
bin10011000100111111…
…01111011010001100
3222102210220222011020
421202133233122030
5131434030004122
64412202354140
7511550103555
oct114237573214
928383828136
1010242422412
114386642612
121b9a1bb950
13c72ca8aa1
146d242932c
153ee2e6c5c
hex2627ef68c

10242422412 has 72 divisors (see below), whose sum is σ = 25556939520. Its totient is φ = 3191865600.

The previous prime is 10242422369. The next prime is 10242422447. The reversal of 10242422412 is 21422424201.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 513889 + ... + 533447.

Almost surely, 210242422412 is an apocalyptic number.

10242422412 is a gapful number since it is divisible by the number (12) 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 10242422412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12778469760).

10242422412 is an abundant number, since it is smaller than the sum of its proper divisors (15314517108).

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

10242422412 is a wasteful number, since it uses less digits than its factorization.

10242422412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19751 (or 19732 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10242422412 its reverse (21422424201), we get a palindrome (31664846613).

The spelling of 10242422412 in words is "ten billion, two hundred forty-two million, four hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 151 204 289 302 453 578 604 867 906 1156 1734 1812 2567 3468 5134 7701 10268 15402 19559 30804 39118 43639 58677 78236 87278 117354 130917 174556 234708 261834 332503 523668 665006 997509 1330012 1995018 2953409 3990036 5652551 5906818 8860227 11305102 11813636 16957653 17720454 22610204 33915306 35440908 50207953 67830612 100415906 150623859 200831812 301247718 602495436 853535201 1707070402 2560605603 3414140804 5121211206 10242422412