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210011221121 = 13101159947617
BaseRepresentation
bin1100001110010110100…
…1001110110010000001
3202002002001011102002212
43003211221032302001
511420100333033441
6240251113151505
721113162632412
oct3034551166201
9662061142085
10210011221121
118107994a869
12348503bb595
1316a5b437c60
14a243925809
1556e22ebeeb
hex30e5a4ec81

210011221121 has 8 divisors (see below), whose sum is σ = 228405198504. Its totient is φ = 191937139200.

The previous prime is 210011221087. The next prime is 210011221181. The reversal of 210011221121 is 121122110012.

It can be written as a sum of positive squares in 4 ways, for example, as 74171799025 + 135839422096 = 272345^2 + 368564^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210011221121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210011221096 and 210011221105.

It is not an unprimeable number, because it can be changed into a prime (210011221181) 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 7 ways as a sum of consecutive naturals, for example, 79972496 + ... + 79975121.

It is an arithmetic number, because the mean of its divisors is an integer number (28550649813).

Almost surely, 2210011221121 is an apocalyptic number.

It is an amenable number.

210011221121 is a deficient number, since it is larger than the sum of its proper divisors (18393977383).

210011221121 is a wasteful number, since it uses less digits than its factorization.

210011221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159947731.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210011221121 its reverse (121122110012), we get a palindrome (331133331133).

The spelling of 210011221121 in words is "two hundred ten billion, eleven million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 13 101 1313 159947617 2079319021 16154709317 210011221121