Search a number
-
+
122000000221 = 1112787329993
BaseRepresentation
bin111000110011111000…
…1000100010011011101
3102122220101112011000201
41301213301010103131
53444324000001341
6132013535223501
711546162614561
oct1614761042335
9378811464021
10122000000221
1147815901970
121b789677b91
13b673661858
145c94c016a1
153290868331
hex1c67c444dd

122000000221 has 8 divisors (see below), whose sum is σ = 134138870784. Its totient is φ = 110035789920.

The previous prime is 122000000209. The next prime is 122000000299.

122000000221 is nontrivially palindromic in base 10.

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 122000000221 - 211 = 121999998173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122000000198 and 122000000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000004221) 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, 43663600 + ... + 43666393.

It is an arithmetic number, because the mean of its divisors is an integer number (16767358848).

Almost surely, 2122000000221 is an apocalyptic number.

122000000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122000000221 is a deficient number, since it is larger than the sum of its proper divisors (12138870563).

122000000221 is a wasteful number, since it uses less digits than its factorization.

122000000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87330131.

The product of its (nonzero) digits is 16, while the sum is 10.

It can be divided in two parts, 122000000 and 221, that added together give a palindrome (122000221).

The spelling of 122000000221 in words is "one hundred twenty-two billion, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 11 127 1397 87329993 960629923 11090909111 122000000221