Search a number
-
+
2134102023 = 32672101523
BaseRepresentation
bin111111100110011…
…1101000000000111
312111201200121121200
41333030331000013
513332312231043
6551433113543
7103612365534
oct17714750007
95451617550
102134102023
119a5710489
124b68588b3
1328019ac81
14163605d8b
15c75517d3
hex7f33d007

2134102023 has 36 divisors (see below), whose sum is σ = 3166312968. Its totient is φ = 1384970400.

The previous prime is 2134101961. The next prime is 2134102027. The reversal of 2134102023 is 3202014312.

2134102023 is a `hidden beast` number, since 213 + 410 + 20 + 23 = 666.

It is not a de Polignac number, because 2134102023 - 213 = 2134093831 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2134101987 and 2134102005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134102027) 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 35 ways as a sum of consecutive naturals, for example, 4080240 + ... + 4080762.

It is an arithmetic number, because the mean of its divisors is an integer number (87953138).

Almost surely, 22134102023 is an apocalyptic number.

2134102023 is a deficient number, since it is larger than the sum of its proper divisors (1032210945).

2134102023 is a wasteful number, since it uses less digits than its factorization.

2134102023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2134102023 is about 46196.3420954517. The cubic root of 2134102023 is about 1287.4737779308.

Adding to 2134102023 its reverse (3202014312), we get a palindrome (5336116335).

The spelling of 2134102023 in words is "two billion, one hundred thirty-four million, one hundred two thousand, twenty-three".

Divisors: 1 3 9 67 101 201 303 523 603 909 1569 4489 4707 6767 13467 20301 35041 40401 52823 60903 105123 158469 315369 453389 475407 1360167 2347747 3539141 4080501 7043241 10617423 21129723 31852269 237122447 711367341 2134102023