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311020122 = 23723397811
BaseRepresentation
bin10010100010011…
…100101001011010
3210200020110101210
4102202130221122
51114110120442
650510123550
710464425130
oct2242345132
9720213353
10311020122
1114a621026
12881b05b6
134c588a9a
142d441750
151c48919c
hex1289ca5a

311020122 has 64 divisors (see below), whose sum is σ = 744597504. Its totient is φ = 84680640.

The previous prime is 311020109. The next prime is 311020141. The reversal of 311020122 is 221020113.

It is a junction number, because it is equal to n+sod(n) for n = 311020098 and 311020107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383097 + ... + 383907.

It is an arithmetic number, because the mean of its divisors is an integer number (11634336).

Almost surely, 2311020122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372298752).

311020122 is an abundant number, since it is smaller than the sum of its proper divisors (433577382).

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

311020122 is a wasteful number, since it uses less digits than its factorization.

311020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 311020122 is about 17635.7625862904. The cubic root of 311020122 is about 677.5315069111.

Adding to 311020122 its reverse (221020113), we get a palindrome (532040235).

Subtracting from 311020122 its reverse (221020113), we obtain a palindrome (90000009).

It can be divided in two parts, 3110 and 20122, that added together give a palindrome (23232).

The spelling of 311020122 in words is "three hundred eleven million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 397 483 794 811 966 1191 1622 2382 2433 2779 4866 5558 5677 8337 9131 11354 16674 17031 18262 18653 27393 34062 37306 54786 55959 63917 111918 127834 130571 191751 261142 321967 383502 391713 643934 783426 965901 1931802 2253769 4507538 6761307 7405241 13522614 14810482 22215723 44431446 51836687 103673374 155510061 311020122