Search a number
-
+
2123274241 = 112592712
BaseRepresentation
bin111111010001110…
…1001100000000001
312110222022111200201
41332203221200001
513322024233431
6550405045201
7103421350624
oct17643514001
95428274621
102123274241
1199a595400
124b30b6801
1327ab796ba
14161dc7dbb
15c6613461
hex7e8e9801

2123274241 has 27 divisors (see below), whose sum is σ = 2407982689. Its totient is φ = 1870807400.

The previous prime is 2123274199. The next prime is 2123274247. The reversal of 2123274241 is 1424723212.

The square root of 2123274241 is 46079.

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

It is not a de Polignac number, because 2123274241 - 27 = 2123274113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2123274247) 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, 29905236 + ... + 29905306.

Almost surely, 22123274241 is an apocalyptic number.

2123274241 is the 46079-th square number.

2123274241 is the 23040-th centered octagonal number.

It is an amenable number.

2123274241 is a deficient number, since it is larger than the sum of its proper divisors (284708448).

2123274241 is an frugal number, since it uses more digits than its factorization.

2123274241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 141 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The cubic root of 2123274241 is about 1285.2926687308.

Adding to 2123274241 its reverse (1424723212), we get a palindrome (3547997453).

The spelling of 2123274241 in words is "two billion, one hundred twenty-three million, two hundred seventy-four thousand, two hundred forty-one".

Divisors: 1 11 59 71 121 649 781 3481 4189 5041 7139 8591 38291 46079 55451 247151 297419 421201 506869 609961 2718661 3271609 17547721 29905271 35987699 193024931 2123274241