Search a number
-
+
122000221 = 731896317
BaseRepresentation
bin1110100010110…
…01001101011101
322111120020211201
413101121031131
5222213001341
620034515501
73010661530
oct721311535
9274506751
10122000221
1162958632
1234a35b91
131c3774a5
14122baa17
15aa9d331
hex745935d

122000221 has 16 divisors (see below), whose sum is σ = 145566720. Its totient is φ = 100045440.

The previous prime is 122000191. The next prime is 122000237.

122000221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 122000221 - 25 = 122000189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122000198 and 122000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16155 + ... + 22471.

It is an arithmetic number, because the mean of its divisors is an integer number (9097920).

Almost surely, 2122000221 is an apocalyptic number.

It is an amenable number.

122000221 is a deficient number, since it is larger than the sum of its proper divisors (23566499).

122000221 is an equidigital number, since it uses as much as digits as its factorization.

122000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444.

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

The square root of 122000221 is about 11045.3710213827. The cubic root of 122000221 is about 495.9678658617.

It can be divided in two parts, 122000 and 221, that added together give a palindrome (122221).

The spelling of 122000221 in words is "one hundred twenty-two million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 7 31 89 217 623 2759 6317 19313 44219 195827 562213 1370789 3935491 17428603 122000221