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111403311104 = 21314899133
BaseRepresentation
bin110011111000000100…
…1111010000000000000
3101122112212222120022102
41213300021322000000
53311123221423404
6123102235325532
711022451343321
oct1476011720000
9348485876272
10111403311104
11432782a0558
12197108b08a8
13a6751677c7
14556b718448
152d703e371e
hex19f027a000

111403311104 has 56 divisors (see below), whose sum is σ = 222967059780. Its totient is φ = 55658151936.

The previous prime is 111403311079. The next prime is 111403311113. The reversal of 111403311104 is 401113304111.

It can be written as a sum of positive squares in 2 ways, for example, as 111395737600 + 7573504 = 333760^2 + 2752^2 .

It is an unprimeable number.

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, 12193322 + ... + 12202454.

Almost surely, 2111403311104 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 111403311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111483529890).

111403311104 is an abundant number, since it is smaller than the sum of its proper divisors (111563748676).

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

111403311104 is an frugal number, since it uses more digits than its factorization.

111403311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10648 (or 10624 counting only the distinct ones).

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

Adding to 111403311104 its reverse (401113304111), we get a palindrome (512516615215).

The spelling of 111403311104 in words is "one hundred eleven billion, four hundred three million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1489 2048 2978 4096 5956 8192 9133 11912 18266 23824 36532 47648 73064 95296 146128 190592 292256 381184 584512 762368 1169024 1524736 2338048 3049472 4676096 6098944 9352192 12197888 13599037 18704384 27198074 37408768 54396148 74817536 108792296 217584592 435169184 870338368 1740676736 3481353472 6962706944 13925413888 27850827776 55701655552 111403311104