Search a number
-
+
122711304 = 23317673
BaseRepresentation
bin1110101000001…
…10110100001000
322112220101021010
413110012310020
5222403230204
620102043520
73020012622
oct724066410
9275811233
10122711304
11632a3901
12351195a0
131c566051
1412423c12
15ab8dd89
hex7506d08

122711304 has 64 divisors (see below), whose sum is σ = 329745600. Its totient is φ = 37923072.

The previous prime is 122711297. The next prime is 122711317. The reversal of 122711304 is 403117221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831479 + ... + 1831545.

It is an arithmetic number, because the mean of its divisors is an integer number (5152275).

Almost surely, 2122711304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122711304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164872800).

122711304 is an abundant number, since it is smaller than the sum of its proper divisors (207034296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122711304 is an frugal number, since it uses more digits than its factorization.

122711304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 122711304 is about 11077.5134393960. The cubic root of 122711304 is about 496.9295890817.

Adding to 122711304 its reverse (403117221), we get a palindrome (525828525).

The spelling of 122711304 in words is "one hundred twenty-two million, seven hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 102 134 136 201 204 268 402 408 536 804 1139 1608 2278 3417 4489 4556 6834 8978 9112 13467 13668 17956 26934 27336 35912 53868 76313 107736 152626 228939 300763 305252 457878 601526 610504 902289 915756 1203052 1804578 1831512 2406104 3609156 5112971 7218312 10225942 15338913 20451884 30677826 40903768 61355652 122711304