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10111321120 = 25563195757
BaseRepresentation
bin10010110101010111…
…01000010000100000
3222002200020022222211
421122223220100200
5131201444233440
64351200411504
7505365545215
oct113253502040
928080208884
1010111321120
11431963923a
121b62316b94
13c51a95c64
146bcc5db0c
153e2a4beea
hex25aae8420

10111321120 has 24 divisors (see below), whose sum is σ = 23887996524. Its totient is φ = 4044528384.

The previous prime is 10111321109. The next prime is 10111321123. The reversal of 10111321120 is 2112311101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9833498896 + 277822224 = 99164^2 + 16668^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10111321120.

It is not an unprimeable number, because it can be changed into a prime (10111321123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31597719 + ... + 31598038.

Almost surely, 210111321120 is an apocalyptic number.

10111321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111321120 is an abundant number, since it is smaller than the sum of its proper divisors (13776675404).

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

10111321120 is an equidigital number, since it uses as much as digits as its factorization.

10111321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63195772 (or 63195764 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10111321120 its reverse (2112311101), we get a palindrome (12223632221).

The spelling of 10111321120 in words is "ten billion, one hundred eleven million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 63195757 126391514 252783028 315978785 505566056 631957570 1011132112 1263915140 2022264224 2527830280 5055660560 10111321120