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2131212001 = 29401318313
BaseRepresentation
bin111111100000111…
…1011011011100001
312111112020210020211
41333001323123201
513331042241001
6551251134121
7103546001032
oct17701733341
95445223224
102131212001
119a4017136
124b58a4341
1327c6c86b9
14163092a89
15c7180351
hex7f07b6e1

2131212001 has 8 divisors (see below), whose sum is σ = 2205371880. Its totient is φ = 2057096832.

The previous prime is 2131211989. The next prime is 2131212023. The reversal of 2131212001 is 1002121312.

It can be written as a sum of positive squares in 4 ways, for example, as 415181376 + 1716030625 = 20376^2 + 41425^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2131212001 - 217 = 2131080929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2131212901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107221 + ... + 125533.

It is an arithmetic number, because the mean of its divisors is an integer number (275671485).

Almost surely, 22131212001 is an apocalyptic number.

It is an amenable number.

2131212001 is a deficient number, since it is larger than the sum of its proper divisors (74159879).

2131212001 is a wasteful number, since it uses less digits than its factorization.

2131212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22355.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2131212001 is about 46165.0517274702. The cubic root of 2131212001 is about 1286.8923454967.

Adding to 2131212001 its reverse (1002121312), we get a palindrome (3133333313).

The spelling of 2131212001 in words is "two billion, one hundred thirty-one million, two hundred twelve thousand, one".

Divisors: 1 29 4013 18313 116377 531077 73490069 2131212001