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2122323201 = 34101259421
BaseRepresentation
bin111111010000000…
…0001010100000001
312110220112012010000
41332200001110001
513321303320301
6550332430213
7103410310125
oct17640012401
95426465100
102122323201
11999aa5919
124b2918369
1327a90585b
14161c1b585
15c64c6786
hex7e801501

2122323201 has 20 divisors (see below), whose sum is σ = 3201786324. Its totient is φ = 1400868000.

The previous prime is 2122323193. The next prime is 2122323227. The reversal of 2122323201 is 1023232212.

It can be written as a sum of positive squares in 2 ways, for example, as 1836036801 + 286286400 = 42849^2 + 16920^2 .

It is not a de Polignac number, because 2122323201 - 23 = 2122323193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2122323001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 121530 + ... + 137891.

Almost surely, 22122323201 is an apocalyptic number.

It is an amenable number.

2122323201 is a deficient number, since it is larger than the sum of its proper divisors (1079463123).

2122323201 is a wasteful number, since it uses less digits than its factorization.

2122323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259534 (or 259525 counting only the distinct ones).

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

The square root of 2122323201 is about 46068.6791757697. The cubic root of 2122323201 is about 1285.1007407381.

Adding to 2122323201 its reverse (1023232212), we get a palindrome (3145555413).

The spelling of 2122323201 in words is "two billion, one hundred twenty-two million, three hundred twenty-three thousand, two hundred one".

Divisors: 1 3 9 27 81 101 303 909 2727 8181 259421 778263 2334789 7004367 21013101 26201521 78604563 235813689 707441067 2122323201