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20212314241 = 72737971527
BaseRepresentation
bin10010110100101111…
…110111000010000001
31221011122000221122011
4102310233313002001
5312343323023431
613141352012521
71313610556600
oct226457670201
957148027564
1020212314241
118632362939
123b01091141
131ba1683c72
14d9a591a37
157d4708cb1
hex4b4bf7081

20212314241 has 24 divisors (see below), whose sum is σ = 24136408320. Its totient is φ = 16870980672.

The previous prime is 20212314229. The next prime is 20212314253. The reversal of 20212314241 is 14241321202.

It is an interprime number because it is at equal distance from previous prime (20212314229) and next prime (20212314253).

It is not a de Polignac number, because 20212314241 - 229 = 19675443329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20212314211) 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 23 ways as a sum of consecutive naturals, for example, 246820 + ... + 318346.

It is an arithmetic number, because the mean of its divisors is an integer number (1005683680).

Almost surely, 220212314241 is an apocalyptic number.

It is an amenable number.

20212314241 is a deficient number, since it is larger than the sum of its proper divisors (3924094079).

20212314241 is an equidigital number, since it uses as much as digits as its factorization.

20212314241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71693 (or 71686 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 20212314241 its reverse (14241321202), we get a palindrome (34453635443).

The spelling of 20212314241 in words is "twenty billion, two hundred twelve million, three hundred fourteen thousand, two hundred forty-one".

Divisors: 1 7 49 73 79 511 553 3577 3871 5767 40369 71527 282583 500689 3504823 5221471 5650633 36550297 39554431 255852079 276881017 412496209 2887473463 20212314241