Search a number
-
+
122130333 = 32131043849
BaseRepresentation
bin1110100011110…
…00111110011101
322111210212022200
413101320332131
5222231132313
620041402113
73012043053
oct721707635
9274725280
10122130333
1162a37366
1234a99339
131c3c1790
14123121d3
15aac6b73
hex7478f9d

122130333 has 12 divisors (see below), whose sum is σ = 189980700. Its totient is φ = 75157056.

The previous prime is 122130289. The next prime is 122130343. The reversal of 122130333 is 333031221.

It can be written as a sum of positive squares in 2 ways, for example, as 57198969 + 64931364 = 7563^2 + 8058^2 .

It is not a de Polignac number, because 122130333 - 26 = 122130269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122130343) 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 11 ways as a sum of consecutive naturals, for example, 521808 + ... + 522041.

It is an arithmetic number, because the mean of its divisors is an integer number (15831725).

Almost surely, 2122130333 is an apocalyptic number.

122130333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122130333 is a deficient number, since it is larger than the sum of its proper divisors (67850367).

122130333 is a wasteful number, since it uses less digits than its factorization.

122130333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043868 (or 1043865 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 122130333 is about 11051.2593400028. The cubic root of 122130333 is about 496.1441181213.

Adding to 122130333 its reverse (333031221), we get a palindrome (455161554).

The spelling of 122130333 in words is "one hundred twenty-two million, one hundred thirty thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 117 1043849 3131547 9394641 13570037 40710111 122130333