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111114331400 = 23522931896149
BaseRepresentation
bin110011101111011101…
…1100010010100001000
3101121210202012212200102
41213132323202110020
53310030232101100
6123013433424532
711012342143022
oct1473673422410
9347722185612
10111114331400
114313a163856
121964bb6b148
13a62a327ab7
1455411b3012
152d54d5ecd5
hex19deee2508

111114331400 has 48 divisors (see below), whose sum is σ = 259222666500. Its totient is φ = 44294017280.

The previous prime is 111114331399. The next prime is 111114331403. The reversal of 111114331400 is 4133411111.

It can be written as a sum of positive squares in 6 ways, for example, as 53099828356 + 58014503044 = 230434^2 + 240862^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (111114331403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 889475 + ... + 1006674.

Almost surely, 2111114331400 is an apocalyptic number.

111114331400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111114331400 is an abundant number, since it is smaller than the sum of its proper divisors (148108335100).

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

111114331400 is a wasteful number, since it uses less digits than its factorization.

111114331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896458 (or 1896449 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 111114331400 its reverse (4133411111), we get a palindrome (115247742511).

The spelling of 111114331400 in words is "one hundred eleven billion, one hundred fourteen million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 293 586 1172 1465 2344 2930 5860 7325 11720 14650 29300 58600 1896149 3792298 7584596 9480745 15169192 18961490 37922980 47403725 75845960 94807450 189614900 379229800 555571657 1111143314 2222286628 2777858285 4444573256 5555716570 11111433140 13889291425 22222866280 27778582850 55557165700 111114331400