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112121022221 = 1320174276001
BaseRepresentation
bin110100001101011101…
…1110000011100001101
3101201101220111001212122
41220122323300130031
53314110440202341
6123301354342325
711046314651465
oct1503273603415
9351356431778
10112121022221
114360643753a
121989112a9a5
13a75aa68540
1455d8b82ba5
152db341394b
hex1a1aef070d

112121022221 has 8 divisors (see below), whose sum is σ = 120805608504. Its totient is φ = 103444992000.

The previous prime is 112121022193. The next prime is 112121022229. The reversal of 112121022221 is 122220121211.

It can be written as a sum of positive squares in 4 ways, for example, as 5345656996 + 106775365225 = 73114^2 + 326765^2 .

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 112121022221 - 210 = 112121021197 is a prime.

It is a super-2 number, since 2×1121210222212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112121022221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121022229) 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, 2111780 + ... + 2164221.

It is an arithmetic number, because the mean of its divisors is an integer number (15100701063).

Almost surely, 2112121022221 is an apocalyptic number.

It is an amenable number.

112121022221 is a deficient number, since it is larger than the sum of its proper divisors (8684586283).

112121022221 is a wasteful number, since it uses less digits than its factorization.

112121022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278031.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 112121022221 its reverse (122220121211), we get a palindrome (234341143432).

The spelling of 112121022221 in words is "one hundred twelve billion, one hundred twenty-one million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 13 2017 26221 4276001 55588013 8624694017 112121022221