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21443324131341 = 3271791901509633
BaseRepresentation
bin1001110000000101010011…
…01101111011100000001101
32210220221222010110012120200
410320002221231323200031
510302311411434200331
6113334532131204113
74342141363511520
oct470025155734015
983827863405520
1021443324131341
11691807649a452
1224a3a39a46639
13bc7134851188
14541c106d2bb7
15272bcb74a5e6
hex1380a9b7b80d

21443324131341 has 24 divisors (see below), whose sum is σ = 35596260348480. Its totient is φ = 12184873721856.

The previous prime is 21443324131319. The next prime is 21443324131357. The reversal of 21443324131341 is 14313142334412.

21443324131341 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 332 + 4 + 1 + 313 + 4 + 1 = 666.

It is not a de Polignac number, because 21443324131341 - 214 = 21443324114957 is a prime.

It is a super-2 number, since 2×214433241313412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21443324131296 and 21443324131305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21443324131741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950743540 + ... + 950766093.

It is an arithmetic number, because the mean of its divisors is an integer number (1483177514520).

Almost surely, 221443324131341 is an apocalyptic number.

21443324131341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21443324131341 is a deficient number, since it is larger than the sum of its proper divisors (14152936217139).

21443324131341 is a wasteful number, since it uses less digits than its factorization.

21443324131341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901509825 (or 1901509822 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 21443324131341 its reverse (14313142334412), we get a palindrome (35756466465753).

The spelling of 21443324131341 in words is "twenty-one trillion, four hundred forty-three billion, three hundred twenty-four million, one hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 63 179 537 1253 1611 3759 11277 1901509633 5704528899 13310567431 17113586697 39931702293 119795106879 340370224307 1021110672921 2382591570149 3063332018763 7147774710447 21443324131341