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2131212431 = 411131732659
BaseRepresentation
bin111111100000111…
…1011100010001111
312111112020210211202
41333001323202033
513331042244211
6551251140115
7103546002215
oct17701734217
95445223752
102131212431
119a4017497
124b58a463b
1327c6c895a
14163092cb5
15c718053b
hex7f07b88f

2131212431 has 16 divisors (see below), whose sum is σ = 2216077920. Its totient is φ = 2048148480.

The previous prime is 2131212409. The next prime is 2131212439. The reversal of 2131212431 is 1342121312.

It is a cyclic number.

It is not a de Polignac number, because 2131212431 - 26 = 2131212367 is a prime.

It is a super-2 number, since 2×21312124312 = 9084132852097859522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131212439) 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 15 ways as a sum of consecutive naturals, for example, 800180 + ... + 802838.

It is an arithmetic number, because the mean of its divisors is an integer number (138504870).

Almost surely, 22131212431 is an apocalyptic number.

2131212431 is a deficient number, since it is larger than the sum of its proper divisors (84865489).

2131212431 is a wasteful number, since it uses less digits than its factorization.

2131212431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986.

The product of its digits is 288, while the sum is 20.

The square root of 2131212431 is about 46165.0563846726. The cubic root of 2131212431 is about 1286.8924320459.

Adding to 2131212431 its reverse (1342121312), we get a palindrome (3473333743).

The spelling of 2131212431 in words is "two billion, one hundred thirty-one million, two hundred twelve thousand, four hundred thirty-one".

Divisors: 1 41 113 173 2659 4633 7093 19549 109019 300467 460007 801509 12319147 18860287 51980791 2131212431