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111121321312 = 25315318111677
BaseRepresentation
bin110011101111101011…
…0001100110101100000
3101121211020101000001001
41213133112030311200
53310034024240222
6123014243321344
711012455434541
oct1473726146540
9347736330031
10111121321312
11431430a8441
1219652380254
13a62b904541
1455420b24c8
152d55790e27
hex19df58cd60

111121321312 has 96 divisors (see below), whose sum is σ = 231379110144. Its totient is φ = 52457932800.

The previous prime is 111121321309. The next prime is 111121321357. The reversal of 111121321312 is 213123121111.

It is a self number, because there is not a number n which added to its sum of digits gives 111121321312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9510418 + ... + 9522094.

It is an arithmetic number, because the mean of its divisors is an integer number (2410199064).

Almost surely, 2111121321312 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 111121321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115689555072).

111121321312 is an abundant number, since it is smaller than the sum of its proper divisors (120257788832).

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

111121321312 is a wasteful number, since it uses less digits than its factorization.

111121321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11952 (or 11944 counting only the distinct ones).

The product of its digits is 72, while the sum is 19.

Adding to 111121321312 its reverse (213123121111), we get a palindrome (324244442423).

The spelling of 111121321312 in words is "one hundred eleven billion, one hundred twenty-one million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 53 62 106 124 181 212 248 362 424 496 724 848 992 1448 1643 1696 2896 3286 5611 5792 6572 9593 11222 11677 13144 19186 22444 23354 26288 38372 44888 46708 52576 76744 89776 93416 153488 179552 186832 297383 306976 361987 373664 594766 618881 723974 1189532 1237762 1447948 2113537 2379064 2475524 2895896 4227074 4758128 4951048 5791792 8454148 9516256 9902096 11583584 16908296 19185311 19804192 33816592 38370622 65519647 67633184 76741244 112017461 131039294 153482488 224034922 262078588 306964976 448069844 524157176 613929952 896139688 1048314352 1792279376 2096628704 3472541291 3584558752 6945082582 13890165164 27780330328 55560660656 111121321312