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2112263253 = 322299771049
BaseRepresentation
bin111110111100110…
…1001010001010101
312110012121002110100
41331321221101111
513311214411003
6545333044313
7103225640622
oct17571512125
95405532410
102112263253
11994354711
124ab486699
132787c2919
1416075d349
15c568aba3
hex7de69455

2112263253 has 24 divisors (see below), whose sum is σ = 3070431000. Its totient is φ = 1399256064.

The previous prime is 2112263233. The next prime is 2112263273. The reversal of 2112263253 is 3523622112.

It is a happy number.

2112263253 is a `hidden beast` number, since 2 + 1 + 1 + 22 + 632 + 5 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (2112263233) and next prime (2112263273).

It can be written as a sum of positive squares in 4 ways, for example, as 1767529764 + 344733489 = 42042^2 + 18567^2 .

It is not a de Polignac number, because 2112263253 - 25 = 2112263221 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112263233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2013073 + ... + 2014121.

It is an arithmetic number, because the mean of its divisors is an integer number (127934625).

Almost surely, 22112263253 is an apocalyptic number.

It is an amenable number.

2112263253 is a deficient number, since it is larger than the sum of its proper divisors (958167747).

2112263253 is a wasteful number, since it uses less digits than its factorization.

2112263253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2258 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2112263253 is about 45959.3652371309. The cubic root of 2112263253 is about 1283.0670374247.

Adding to 2112263253 its reverse (3523622112), we get a palindrome (5635885365).

The spelling of 2112263253 in words is "two billion, one hundred twelve million, two hundred sixty-three thousand, two hundred fifty-three".

Divisors: 1 3 9 229 687 977 1049 2061 2931 3147 8793 9441 223733 240221 671199 720663 1024873 2013597 2161989 3074619 9223857 234695917 704087751 2112263253