Search a number
-
+
111420434432 = 211174131249
BaseRepresentation
bin110011111000100101…
…1001110100000000000
3101122121002012112002202
41213301023032200000
53311142112400212
6123104050332332
711023050031466
oct1476113164000
9348532175082
10111420434432
1143286a2656a
121971658a0a8
13a678881758
14556dad4836
152d71b770c2
hex19f12ce800

111420434432 has 48 divisors (see below), whose sum is σ = 222921562500. Its totient is φ = 55676436480.

The previous prime is 111420434431. The next prime is 111420434443. The reversal of 111420434432 is 234434024111.

It can be written as a sum of positive squares in 2 ways, for example, as 101725275136 + 9695159296 = 318944^2 + 98464^2 .

It is a super-2 number, since 2×1114204344322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111420434395 and 111420434404.

It is not an unprimeable number, because it can be changed into a prime (111420434431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3549944 + ... + 3581192.

Almost surely, 2111420434432 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 111420434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111460781250).

111420434432 is an abundant number, since it is smaller than the sum of its proper divisors (111501128068).

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

111420434432 is an equidigital number, since it uses as much as digits as its factorization.

111420434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33012 (or 32992 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 111420434432 its reverse (234434024111), we get a palindrome (345854458543).

The spelling of 111420434432 in words is "one hundred eleven billion, four hundred twenty million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1741 2048 3482 6964 13928 27856 31249 55712 62498 111424 124996 222848 249992 445696 499984 891392 999968 1782784 1999936 3565568 3999872 7999744 15999488 31998976 54404509 63997952 108809018 217618036 435236072 870472144 1740944288 3481888576 6963777152 13927554304 27855108608 55710217216 111420434432