Search a number
-
+
1122414201 = 32734094177
BaseRepresentation
bin100001011100110…
…1010111001111001
32220020000112211100
41002321222321321
54244314223301
6303213122013
736546235416
oct10271527171
92806015740
101122414201
11526634447
12273a89309
1314b6cac1c
14a90d510d
1568812286
hex42e6ae79

1122414201 has 24 divisors (see below), whose sum is σ = 1647886760. Its totient is φ = 736045056.

The previous prime is 1122414193. The next prime is 1122414233. The reversal of 1122414201 is 1024142211.

1122414201 is a `hidden beast` number, since 1 + 1 + 2 + 241 + 420 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 714172176 + 408242025 = 26724^2 + 20205^2 .

It is not a de Polignac number, because 1122414201 - 23 = 1122414193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1122414281) 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 23 ways as a sum of consecutive naturals, for example, 266625 + ... + 270801.

Almost surely, 21122414201 is an apocalyptic number.

It is an amenable number.

1122414201 is a deficient number, since it is larger than the sum of its proper divisors (525472559).

1122414201 is a wasteful number, since it uses less digits than its factorization.

1122414201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1122414201 is about 33502.4506715554. The cubic root of 1122414201 is about 1039.2444589507.

Adding to 1122414201 its reverse (1024142211), we get a palindrome (2146556412).

It can be divided in two parts, 11224 and 14201, that added together give a triangular number (25425 = T225).

The spelling of 1122414201 in words is "one billion, one hundred twenty-two million, four hundred fourteen thousand, two hundred one".

Divisors: 1 3 9 73 219 409 657 1227 3681 4177 12531 29857 37593 89571 268713 304921 914763 1708393 2744289 5125179 15375537 124712689 374138067 1122414201