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221121000013 = 1835312048221
BaseRepresentation
bin1100110111101111010…
…1101011001001001101
3210010202022011122200011
43031323311223021031
512110323434000023
6245325342233221
721655404326344
oct3157365531115
9703668148604
10221121000013
1185860049111
1236a30b85811
1317b0c01b114
14a9b9210b5b
155b4282350d
hex337bd6b24d

221121000013 has 4 divisors (see below), whose sum is σ = 221133066588. Its totient is φ = 221108933440.

The previous prime is 221120999989. The next prime is 221121000019. The reversal of 221121000013 is 310000121122.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310000121122 = 2155000060561.

It can be written as a sum of positive squares in 2 ways, for example, as 19050072484 + 202070927529 = 138022^2 + 449523^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221121000013 is a prime.

It is a super-3 number, since 3×2211210000133 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221120999957 and 221121000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121000019) 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 3 ways as a sum of consecutive naturals, for example, 6005758 + ... + 6042463.

It is an arithmetic number, because the mean of its divisors is an integer number (55283266647).

Almost surely, 2221121000013 is an apocalyptic number.

It is an amenable number.

221121000013 is a deficient number, since it is larger than the sum of its proper divisors (12066575).

221121000013 is a wasteful number, since it uses less digits than its factorization.

221121000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12066574.

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

Adding to 221121000013 its reverse (310000121122), we get a palindrome (531121121135).

The spelling of 221121000013 in words is "two hundred twenty-one billion, one hundred twenty-one million, thirteen", and thus it is an aban number.

Divisors: 1 18353 12048221 221121000013