Search a number
-
+
122122357 = 727334141
BaseRepresentation
bin1110100011101…
…11000001110101
322111210110101021
413101313001311
5222230403412
620041301141
73012010600
oct721670165
9274713337
10122122357
1162a31375
1234a947b1
131c3bac66
141230d337
15aac4607
hex7477075

122122357 has 12 divisors (see below), whose sum is σ = 144010956. Its totient is φ = 103239360.

The previous prime is 122122349. The next prime is 122122379. The reversal of 122122357 is 753221221.

It can be written as a sum of positive squares in 2 ways, for example, as 65707236 + 56415121 = 8106^2 + 7511^2 .

It is not a de Polignac number, because 122122357 - 23 = 122122349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122327) 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, 13494 + ... + 20647.

It is an arithmetic number, because the mean of its divisors is an integer number (12000913).

Almost surely, 2122122357 is an apocalyptic number.

It is an amenable number.

122122357 is a deficient number, since it is larger than the sum of its proper divisors (21888599).

122122357 is an equidigital number, since it uses as much as digits as its factorization.

122122357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34228 (or 34221 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 122122357 is about 11050.8984702602. The cubic root of 122122357 is about 496.1333172784.

Adding to 122122357 its reverse (753221221), we get a palindrome (875343578).

The spelling of 122122357 in words is "one hundred twenty-two million, one hundred twenty-two thousand, three hundred fifty-seven".

Divisors: 1 7 49 73 511 3577 34141 238987 1672909 2492293 17446051 122122357