Search a number
-
+
122052213 = 3229467633
BaseRepresentation
bin1110100011001…
…01111001110101
322111122220011100
413101211321311
5222221132323
620040000313
73011266233
oct721457165
9274586140
10122052213
11629936a8
1234a60099
131c39505a
14122d1953
15aaad943
hex7465e75

122052213 has 12 divisors (see below), whose sum is σ = 182377260. Its totient is φ = 78562176.

The previous prime is 122052209. The next prime is 122052241. The reversal of 122052213 is 312250221.

It can be written as a sum of positive squares in 2 ways, for example, as 52446564 + 69605649 = 7242^2 + 8343^2 .

It is not a de Polignac number, because 122052213 - 22 = 122052209 is a prime.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122052253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233556 + ... + 234077.

It is an arithmetic number, because the mean of its divisors is an integer number (15198105).

Almost surely, 2122052213 is an apocalyptic number.

It is an amenable number.

122052213 is a deficient number, since it is larger than the sum of its proper divisors (60325047).

122052213 is a wasteful number, since it uses less digits than its factorization.

122052213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467668 (or 467665 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122052213 is about 11047.7243358078. The cubic root of 122052213 is about 496.0383102671.

It can be divided in two parts, 122052 and 213, that added together give a triangular number (122265 = T494).

The spelling of 122052213 in words is "one hundred twenty-two million, fifty-two thousand, two hundred thirteen".

Divisors: 1 3 9 29 87 261 467633 1402899 4208697 13561357 40684071 122052213