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21321410414241 = 372479940941379
BaseRepresentation
bin1001101100100010001110…
…00110000000011010100001
32210111022021202021200202010
410312101013012000122201
510243312222031223431
6113202530513143133
74330264266146130
oct466210706003241
983438252250663
1021321410414241
1168803a5370353
12248429525aaa9
13bb87a603c832
14539d67151917
1526e943777846
hex1364471806a1

21321410414241 has 16 divisors (see below), whose sum is σ = 32491079168000. Its totient is φ = 12183171499728.

The previous prime is 21321410414233. The next prime is 21321410414263. The reversal of 21321410414241 is 14241401412312.

It is not a de Polignac number, because 21321410414241 - 23 = 21321410414233 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21321410414199 and 21321410414208.

It is not an unprimeable number, because it can be changed into a prime (21321410414141) 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 15 ways as a sum of consecutive naturals, for example, 19949911 + ... + 20991468.

It is an arithmetic number, because the mean of its divisors is an integer number (2030692448000).

Almost surely, 221321410414241 is an apocalyptic number.

21321410414241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21321410414241 is a deficient number, since it is larger than the sum of its proper divisors (11169668753759).

21321410414241 is a wasteful number, since it uses less digits than its factorization.

21321410414241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40966188.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 21321410414241 its reverse (14241401412312), we get a palindrome (35562811826553).

The spelling of 21321410414241 in words is "twenty-one trillion, three hundred twenty-one billion, four hundred ten million, four hundred fourteen thousand, two hundred forty-one".

Divisors: 1 3 7 21 24799 74397 173593 520779 40941379 122824137 286589653 859768959 1015305257821 3045915773463 7107136804747 21321410414241