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111311121220 = 225131677393469
BaseRepresentation
bin110011110101010101…
…0001110101101000100
3101122022110111211120021
41213222222032231010
53310431121334340
6123045143344524
711020251630205
oct1475252165504
9348273454507
10111311121220
1143230253972
12196a5a52144
13a65c029b90
14555d39b5ac
152d67282e4a
hex19eaa8eb44

111311121220 has 96 divisors (see below), whose sum is σ = 253657555200. Its totient is φ = 40786343424.

The previous prime is 111311121217. The next prime is 111311121227. The reversal of 111311121220 is 22121113111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111311121194 and 111311121203.

It is not an unprimeable number, because it can be changed into a prime (111311121227) 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 31 ways as a sum of consecutive naturals, for example, 32085646 + ... + 32089114.

It is an arithmetic number, because the mean of its divisors is an integer number (2642266200).

Almost surely, 2111311121220 is an apocalyptic number.

111311121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111311121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126828777600).

111311121220 is an abundant number, since it is smaller than the sum of its proper divisors (142346433980).

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

111311121220 is a wasteful number, since it uses less digits than its factorization.

111311121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 111311121220 its reverse (22121113111), we get a palindrome (133432234331).

The spelling of 111311121220 in words is "one hundred eleven billion, three hundred eleven million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 167 260 334 668 739 835 1478 1670 2171 2956 3340 3469 3695 4342 6938 7390 8684 9607 10855 13876 14780 17345 19214 21710 34690 38428 43420 45097 48035 69380 90194 96070 123413 180388 192140 225485 246826 450970 493652 579323 617065 901940 1158646 1234130 1604369 2317292 2468260 2563591 2896615 3208738 5127182 5793230 6417476 7531199 8021845 10254364 11586460 12817955 15062398 16043690 25635910 30124796 32087380 33326683 37655995 51271820 66653366 75311990 133306732 150623980 166633415 333266830 428119697 666533660 856239394 1712478788 2140598485 4281196970 5565556061 8562393940 11131112122 22262224244 27827780305 55655560610 111311121220