Search a number
-
+
122111301 = 31323136133
BaseRepresentation
bin1110100011101…
…00010101000101
322111202220012210
413101310111011
5222230030201
620041134033
73011633424
oct721642505
9274686183
10122111301
1162a24034
1234a8a319
131c3b5c10
14123092bb
15aac11d6
hex7474545

122111301 has 16 divisors (see below), whose sum is σ = 182964096. Its totient is φ = 71877696.

The previous prime is 122111299. The next prime is 122111321. The reversal of 122111301 is 103111221.

It is not a de Polignac number, because 122111301 - 21 = 122111299 is a prime.

It is a super-2 number, since 2×1221113012 = 29822339663825202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67170 + ... + 68963.

It is an arithmetic number, because the mean of its divisors is an integer number (11435256).

Almost surely, 2122111301 is an apocalyptic number.

It is an amenable number.

122111301 is a deficient number, since it is larger than the sum of its proper divisors (60852795).

122111301 is a wasteful number, since it uses less digits than its factorization.

122111301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136172.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 122111301 is about 11050.3982281183. The cubic root of 122111301 is about 496.1183448206.

Adding to 122111301 its reverse (103111221), we get a palindrome (225222522).

The spelling of 122111301 in words is "one hundred twenty-two million, one hundred eleven thousand, three hundred one".

Divisors: 1 3 13 23 39 69 299 897 136133 408399 1769729 3131059 5309187 9393177 40703767 122111301