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11122430312 = 2375910513203
BaseRepresentation
bin10100101101111001…
…01101000101101000
31001201010211000001102
422112330231011220
5140234320232222
65035400140532
7542424045350
oct122674550550
931633730042
1011122430312
11479835a574
1221a4a67748
1310833c2816
1477725db60
154516c4d92
hex296f2d168

11122430312 has 64 divisors (see below), whose sum is σ = 24268377600. Its totient is φ = 4680043200.

The previous prime is 11122430243. The next prime is 11122430317. The reversal of 11122430312 is 21303422111.

11122430312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11122430317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3470903 + ... + 3474105.

It is an arithmetic number, because the mean of its divisors is an integer number (379193400).

Almost surely, 211122430312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122430312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12134188800).

11122430312 is an abundant number, since it is smaller than the sum of its proper divisors (13145947288).

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

11122430312 is a wasteful number, since it uses less digits than its factorization.

11122430312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11122430312 its reverse (21303422111), we get a palindrome (32425852423).

The spelling of 11122430312 in words is "eleven billion, one hundred twenty-two million, four hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 826 1051 1652 2102 3203 3304 4204 6406 7357 8408 12812 14714 22421 25624 29428 44842 58856 62009 89684 124018 179368 188977 248036 377954 434063 496072 755908 868126 1322839 1511816 1736252 2645678 3366353 3472504 5291356 6732706 10582712 13465412 23564471 26930824 47128942 94257884 188515768 198614827 397229654 794459308 1390303789 1588918616 2780607578 5561215156 11122430312