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2122434251 = 73183117841
BaseRepresentation
bin111111010000001…
…1100011011001011
312110220201211102222
41332200130123023
513321320344001
6550335044255
7103411251650
oct17640343313
95426654388
102122434251
1199a0712a3
124b297068b
1327a944272
14161c49c27
15c64e961b
hex7e81c6cb

2122434251 has 16 divisors (see below), whose sum is σ = 2534074368. Its totient is φ = 1739318400.

The previous prime is 2122434239. The next prime is 2122434283. The reversal of 2122434251 is 1524342212.

It is a cyclic number.

It is not a de Polignac number, because 2122434251 - 26 = 2122434187 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2122434251.

It is not an unprimeable number, because it can be changed into a prime (2122434851) 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 15 ways as a sum of consecutive naturals, for example, 40910 + ... + 76931.

It is an arithmetic number, because the mean of its divisors is an integer number (158379648).

Almost surely, 22122434251 is an apocalyptic number.

2122434251 is a deficient number, since it is larger than the sum of its proper divisors (411640117).

2122434251 is a wasteful number, since it uses less digits than its factorization.

2122434251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117962.

The product of its digits is 3840, while the sum is 26.

The square root of 2122434251 is about 46069.8844257287. The cubic root of 2122434251 is about 1285.1231545326.

Adding to 2122434251 its reverse (1524342212), we get a palindrome (3646776463).

The spelling of 2122434251 in words is "two billion, one hundred twenty-two million, four hundred thirty-four thousand, two hundred fifty-one".

Divisors: 1 7 31 83 217 581 2573 18011 117841 824887 3653071 9780803 25571497 68465621 303204893 2122434251