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4201320112 = 24111131511399
BaseRepresentation
bin1111101001101011…
…0000111010110000
3101211210112011201121
43322122300322300
532101014220422
61532520512024
7206053426453
oct37232607260
911753464647
104201320112
111866598a90
1299301b614
1351c54b842
142bbd9b49a
15198c908c7
hexfa6b0eb0

4201320112 has 80 divisors (see below), whose sum is σ = 9024422400. Its totient is φ = 1878912000.

The previous prime is 4201320091. The next prime is 4201320113. The reversal of 4201320112 is 2110231024.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4201320113) 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 15 ways as a sum of consecutive naturals, for example, 3002389 + ... + 3003787.

It is an arithmetic number, because the mean of its divisors is an integer number (112805280).

Almost surely, 24201320112 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 4201320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512211200).

4201320112 is an abundant number, since it is smaller than the sum of its proper divisors (4823102288).

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

4201320112 is a wasteful number, since it uses less digits than its factorization.

4201320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4201320112 is about 64817.5910690917. The cubic root of 4201320112 is about 1613.5976685169.

Adding to 4201320112 its reverse (2110231024), we get a palindrome (6311551136).

The spelling of 4201320112 in words is "four billion, two hundred one million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 113 151 176 226 302 452 604 904 1208 1243 1399 1661 1808 2416 2486 2798 3322 4972 5596 6644 9944 11192 13288 15389 17063 19888 22384 26576 30778 34126 61556 68252 123112 136504 158087 187693 211249 246224 273008 316174 375386 422498 632348 750772 844996 1264696 1501544 1689992 1738957 2323739 2529392 3003088 3379984 3477914 4647478 6955828 9294956 13911656 18589912 23871137 27823312 37179824 47742274 95484548 190969096 262582507 381938192 525165014 1050330028 2100660056 4201320112