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220111020111121 = 7313722008901121
BaseRepresentation
bin110010000011000010010111…
…001010100011010100010001
31001212100102000110000112222121
4302003002113022203110101
5212322244332122023441
62100045335013534241
764235332161611656
oct6203022712432421
91055312013015877
10220111020111121
1164152617630037
122082aba7344381
1395a84c31cb859
143c4d604729c2d
151a6a8d5872dd1
hexc830972a3511

220111020111121 has 8 divisors (see below), whose sum is σ = 224754898257864. Its totient is φ = 215511159767040.

The previous prime is 220111020111067. The next prime is 220111020111127. The reversal of 220111020111121 is 121111020111022.

It can be written as a sum of positive squares in 4 ways, for example, as 3892081882896 + 216218938228225 = 1972836^2 + 14704385^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 220111020111121 - 243 = 211314927088913 is a prime.

It is a super-2 number, since 2×2201110201111212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220111020111095 and 220111020111104.

It is not an unprimeable number, because it can be changed into a prime (220111020111127) 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 7 ways as a sum of consecutive naturals, for example, 11004440560 + ... + 11004460561.

It is an arithmetic number, because the mean of its divisors is an integer number (28094362282233).

Almost surely, 2220111020111121 is an apocalyptic number.

It is an amenable number.

220111020111121 is a deficient number, since it is larger than the sum of its proper divisors (4643878146743).

220111020111121 is a wasteful number, since it uses less digits than its factorization.

220111020111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22008901331.

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

Adding to 220111020111121 its reverse (121111020111022), we get a palindrome (341222040222143).

Subtracting from 220111020111121 its reverse (121111020111022), we obtain a palindrome (99000000000099).

The spelling of 220111020111121 in words is "two hundred twenty trillion, one hundred eleven billion, twenty million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 73 137 10001 22008901121 1606649781833 3015219453577 220111020111121