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214121240013 = 32327531127209
BaseRepresentation
bin1100011101101010011…
…1101101010111001101
3202110200110220000002210
43013122213231113031
512002010014140023
6242211013141033
721320060336652
oct3073247552715
9673613800083
10214121240013
118289894889a
12355b892a779
1317264a9a4b5
14a513717c29
155883055593
hex31da9ed5cd

214121240013 has 16 divisors (see below), whose sum is σ = 298016288640. Its totient is φ = 136491362304.

The previous prime is 214121240009. The next prime is 214121240063. The reversal of 214121240013 is 310042121412.

It is not a de Polignac number, because 214121240013 - 22 = 214121240009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214121240063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373648 + ... + 753561.

It is an arithmetic number, because the mean of its divisors is an integer number (18626018040).

Almost surely, 2214121240013 is an apocalyptic number.

214121240013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

214121240013 is a deficient number, since it is larger than the sum of its proper divisors (83895048627).

214121240013 is a wasteful number, since it uses less digits than its factorization.

214121240013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129988.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 214121240013 its reverse (310042121412), we get a palindrome (524163361425).

The spelling of 214121240013 in words is "two hundred fourteen billion, one hundred twenty-one million, two hundred forty thousand, thirteen".

Divisors: 1 3 23 69 2753 8259 63319 189957 1127209 3381627 25925807 77777421 3103206377 9309619131 71373746671 214121240013