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220212110013 = 3737283413269
BaseRepresentation
bin1100110100010110101…
…0100010001010111101
3210001101221221020222120
43031011222202022331
512101443300010023
6245055233433153
721624030023310
oct3150552421275
9701357836876
10220212110013
1185433aa4655
123681870b7b9
13179c593119c
14a93061c977
155adcb3c8e3
hex3345aa22bd

220212110013 has 16 divisors (see below), whose sum is σ = 344630536320. Its totient is φ = 122434531776.

The previous prime is 220212110011. The next prime is 220212110017. The reversal of 220212110013 is 310011212022.

220212110013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220212110013 - 21 = 220212110011 is a prime.

It is a super-2 number, since 2×2202121100132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220212109974 and 220212110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212110011) 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, 141705858 + ... + 141707411.

It is an arithmetic number, because the mean of its divisors is an integer number (21539408520).

Almost surely, 2220212110013 is an apocalyptic number.

It is an amenable number.

220212110013 is a deficient number, since it is larger than the sum of its proper divisors (124418426307).

220212110013 is a wasteful number, since it uses less digits than its factorization.

220212110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283413316.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 220212110013 its reverse (310011212022), we get a palindrome (530223322035).

The spelling of 220212110013 in words is "two hundred twenty billion, two hundred twelve million, one hundred ten thousand, thirteen".

Divisors: 1 3 7 21 37 111 259 777 283413269 850239807 1983892883 5951678649 10486290953 31458872859 73404036671 220212110013