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111041201322 = 23371253111443
BaseRepresentation
bin110011101101010010…
…0100100010010101010
3101121121122121111002000
41213122210210102222
53304403021420242
6123002302151430
711010463431552
oct1473244442252
9347548544060
10111041201322
1143101955077
121962b582576
13a61813166c
1455355b8162
152d4d716a4c
hex19da9244aa

111041201322 has 64 divisors (see below), whose sum is σ = 250354437120. Its totient is φ = 36474807600.

The previous prime is 111041201263. The next prime is 111041201329. The reversal of 111041201322 is 223102140111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111041201295 and 111041201304.

It is not an unprimeable number, because it can be changed into a prime (111041201329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9698133 + ... + 9709575.

It is an arithmetic number, because the mean of its divisors is an integer number (3911788080).

Almost surely, 2111041201322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111041201322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125177218560).

111041201322 is an abundant number, since it is smaller than the sum of its proper divisors (139313235798).

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

111041201322 is a wasteful number, since it uses less digits than its factorization.

111041201322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14056 (or 14050 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 111041201322 its reverse (223102140111), we get a palindrome (334143341433).

The spelling of 111041201322 in words is "one hundred eleven billion, forty-one million, two hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 1278 1917 2531 3834 5062 7593 11443 15186 22779 22886 34329 45558 68337 68658 102987 136674 179701 205974 308961 359402 539103 617922 812453 1078206 1617309 1624906 2437359 3234618 4851927 4874718 7312077 9703854 14624154 21936231 28962233 43872462 57924466 86886699 173773398 260660097 521320194 781980291 1563960582 2056318543 4112637086 6168955629 12337911258 18506866887 37013733774 55520600661 111041201322