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2122234101 = 34132015417
BaseRepresentation
bin111111001111110…
…1011100011110101
312110220100122220000
41332133223203311
513321242442401
6550330501513
7103406456301
oct17637534365
95426318800
102122234101
11999a44989
124b2894899
1327a8a4130
14161bd6d01
15c64aa186
hex7e7eb8f5

2122234101 has 20 divisors (see below), whose sum is σ = 3414118092. Its totient is φ = 1305989568.

The previous prime is 2122234073. The next prime is 2122234159. The reversal of 2122234101 is 1014322212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 492174225 + 1630059876 = 22185^2 + 40374^2 .

It is not a de Polignac number, because 2122234101 - 210 = 2122233077 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 (2122234001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1006656 + ... + 1008761.

Almost surely, 22122234101 is an apocalyptic number.

It is an amenable number.

2122234101 is a deficient number, since it is larger than the sum of its proper divisors (1291883991).

2122234101 is a wasteful number, since it uses less digits than its factorization.

2122234101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015442 (or 2015433 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2122234101 is about 46067.7121311662. The cubic root of 2122234101 is about 1285.0827566600.

Adding to 2122234101 its reverse (1014322212), we get a palindrome (3136556313).

The spelling of 2122234101 in words is "two billion, one hundred twenty-two million, two hundred thirty-four thousand, one hundred one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 2015417 6046251 18138753 26200421 54416259 78601263 163248777 235803789 707411367 2122234101