Search a number
-
+
116227128241 = 7211324312
BaseRepresentation
bin110110000111110101…
…1010011101110110001
3102010000001211212102101
41230033223103232301
53401013121100431
6125221034420401
711253134201200
oct1541753235661
9363001755371
10116227128241
1145323202794
121a638291701
13ac6365aa83
1458a8237237
153053b47961
hex1b0fad3bb1

116227128241 has 27 divisors (see below), whose sum is σ = 136727291883. Its totient is φ = 98512532160.

The previous prime is 116227128233. The next prime is 116227128271. The reversal of 116227128241 is 142821722611.

The square root of 116227128241 is 340921.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2048015025 + 114179113216 = 45255^2 + 337904^2 .

It is not a de Polignac number, because 116227128241 - 23 = 116227128233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 116227128241.

It is not an unprimeable number, because it can be changed into a prime (116227128211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 269668296 + ... + 269668726.

Almost surely, 2116227128241 is an apocalyptic number.

116227128241 is the 340921-st square number.

116227128241 is the 170461-st centered octagonal number.

It is an amenable number.

116227128241 is a deficient number, since it is larger than the sum of its proper divisors (20500163642).

116227128241 is an frugal number, since it uses more digits than its factorization.

116227128241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 551 counting only the distinct ones).

The product of its digits is 21504, while the sum is 37.

The spelling of 116227128241 in words is "one hundred sixteen billion, two hundred twenty-seven million, one hundred twenty-eight thousand, two hundred forty-one".

Divisors: 1 7 49 113 431 791 3017 5537 12769 21119 48703 89383 185761 340921 625681 1300327 2386447 5503439 9102289 20990993 38524073 146936951 269668511 1028558657 2371982209 16603875463 116227128241