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11323125112 = 23131574311609
BaseRepresentation
bin10101000101110100…
…10010110101111000
31002020010110100120011
422202322102311320
5141142210000422
65111325511304
7550411655365
oct124272226570
932203410504
1011323125112
114890677542
122240112534
1310b5b61140
14795b8346c
1546411a077
hex2a2e92d78

11323125112 has 64 divisors (see below), whose sum is σ = 23077353600. Its totient is φ = 5177502720.

The previous prime is 11323125109. The next prime is 11323125127. The reversal of 11323125112 is 21152132311.

11323125112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 7036564 + ... + 7038172.

It is an arithmetic number, because the mean of its divisors is an integer number (360583650).

Almost surely, 211323125112 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 11323125112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11538676800).

11323125112 is an abundant number, since it is smaller than the sum of its proper divisors (11754228488).

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

11323125112 is a wasteful number, since it uses less digits than its factorization.

11323125112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2212 counting only the distinct ones).

The product of its digits is 360, while the sum is 22.

Adding to 11323125112 its reverse (21152132311), we get a palindrome (32475257423).

The spelling of 11323125112 in words is "eleven billion, three hundred twenty-three million, one hundred twenty-five thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 157 314 431 628 862 1256 1609 1724 2041 3218 3448 4082 5603 6436 8164 11206 12872 16328 20917 22412 41834 44824 67667 83668 135334 167336 252613 270668 505226 541336 693479 879671 1010452 1386958 1759342 2020904 2773916 3283969 3518684 5547832 6567938 7037368 9015227 13135876 18030454 26271752 36060908 72121816 108876203 217752406 435504812 871009624 1415390639 2830781278 5661562556 11323125112