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11111221314 = 2323125179333
BaseRepresentation
bin10100101100100011…
…11100100001000010
31001200100201112012100
422112101330201002
5140223433040224
65034320011230
7542226552144
oct122621744102
931610645170
1011111221314
114791aa4036
1221a1160b16
131080c9988b
14775982c94
1545070dac9
hex29647c842

11111221314 has 48 divisors (see below), whose sum is σ = 24950225664. Its totient is φ = 3569940000.

The previous prime is 11111221313. The next prime is 11111221321. The reversal of 11111221314 is 41312211111.

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

It is not an unprimeable number, because it can be changed into a prime (11111221313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100392 + ... + 179724.

It is an arithmetic number, because the mean of its divisors is an integer number (519796368).

Almost surely, 211111221314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111221314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12475112832).

11111221314 is an abundant number, since it is smaller than the sum of its proper divisors (13839004350).

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

11111221314 is a wasteful number, since it uses less digits than its factorization.

11111221314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79623 (or 79620 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 11111221314 its reverse (41312211111), we get a palindrome (52423432425).

The spelling of 11111221314 in words is "eleven billion, one hundred eleven million, two hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 251 279 502 558 753 1506 2259 4518 7781 15562 23343 46686 70029 79333 140058 158666 237999 475998 713997 1427994 2459323 4918646 7377969 14755938 19912583 22133907 39825166 44267814 59737749 119475498 179213247 358426494 617290073 1234580146 1851870219 3703740438 5555610657 11111221314