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221020121112 = 23379771346567
BaseRepresentation
bin1100110111010111010…
…0110110100000011000
3210010111021100110211120
43031311310312200120
512110122122333422
6245311340125240
721653041013640
oct3156564664030
9703437313746
10221020121112
118580910731a
1236a03236820
1317ac415a56b
14a9a9a71520
155b38a4845c
hex3375d36818

221020121112 has 64 divisors (see below), whose sum is σ = 632132881920. Its totient is φ = 63083923968.

The previous prime is 221020121111. The next prime is 221020121117. The reversal of 221020121112 is 211121020122.

221020121112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221020121091 and 221020121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020121111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509148 + ... + 837419.

It is an arithmetic number, because the mean of its divisors is an integer number (9877076280).

Almost surely, 2221020121112 is an apocalyptic number.

It is an amenable number.

221020121112 is an abundant number, since it is smaller than the sum of its proper divisors (411112760808).

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

221020121112 is a wasteful number, since it uses less digits than its factorization.

221020121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347560 (or 1347556 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221020121112 its reverse (211121020122), we get a palindrome (432141141234).

The spelling of 221020121112 in words is "two hundred twenty-one billion, twenty million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 977 1954 2931 3908 5862 6839 7816 11724 13678 20517 23448 27356 41034 54712 82068 164136 1346567 2693134 4039701 5386268 8079402 9425969 10772536 16158804 18851938 28277907 32317608 37703876 56555814 75407752 113111628 226223256 1315595959 2631191918 3946787877 5262383836 7893575754 9209171713 10524767672 15787151508 18418343426 27627515139 31574303016 36836686852 55255030278 73673373704 110510060556 221020121112