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2121432412420 = 225997106390793
BaseRepresentation
bin11110110111101111001…
…110011011000100000100
321111210210021100112220101
4132313233032123010010
5234224143144144140
64302323403013444
7306161033656666
oct36675716330404
97453707315811
102121432412420
11748770322622
122a319350a284
13125086438249
147496c144536
153a2b3acb99a
hex1edef39b104

2121432412420 has 24 divisors (see below), whose sum is σ = 4459476521304. Its totient is φ = 847721830656.

The previous prime is 2121432412381. The next prime is 2121432412427. The reversal of 2121432412420 is 242142341212.

It can be written as a sum of positive squares in 4 ways, for example, as 96611558976 + 2024820853444 = 310824^2 + 1422962^2 .

It is a super-2 number, since 2×21214324124202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121432412427) 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 7 ways as a sum of consecutive naturals, for example, 53175457 + ... + 53215336.

It is an arithmetic number, because the mean of its divisors is an integer number (185811521721).

Almost surely, 22121432412420 is an apocalyptic number.

2121432412420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121432412420 is an abundant number, since it is smaller than the sum of its proper divisors (2338044108884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121432412420 is a wasteful number, since it uses less digits than its factorization.

2121432412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106391799 (or 106391797 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2121432412420 its reverse (242142341212), we get a palindrome (2363574753632).

The spelling of 2121432412420 in words is "two trillion, one hundred twenty-one billion, four hundred thirty-two million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 997 1994 3988 4985 9970 19940 106390793 212781586 425563172 531953965 1063907930 2127815860 106071620621 212143241242 424286482484 530358103105 1060716206210 2121432412420