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21131431212441 = 3112351272371927
BaseRepresentation
bin1001100111000000010110…
…11100110111010110011001
32202211010220202220022010210
410303200023130313112121
510232204132342244231
6112535351231401333
74310460364446204
oct463401334672631
982733822808123
1021131431212441
11680787602a160
1224534b5683249
13ba38bab10664
14530aa3c8893b
15269a24e1da46
hex13380b737599

21131431212441 has 16 divisors (see below), whose sum is σ = 30749701183488. Its totient is φ = 12801480522000.

The previous prime is 21131431212371. The next prime is 21131431212467. The reversal of 21131431212441 is 14421213413112.

It is not a de Polignac number, because 21131431212441 - 218 = 21131430950297 is a prime.

It is a super-2 number, since 2×211314312124412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21131431212399 and 21131431212408.

It is not an unprimeable number, because it can be changed into a prime (21131431211441) 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, 136108381 + ... + 136263546.

It is an arithmetic number, because the mean of its divisors is an integer number (1921856323968).

Almost surely, 221131431212441 is an apocalyptic number.

It is an amenable number.

21131431212441 is a deficient number, since it is larger than the sum of its proper divisors (9618269971047).

21131431212441 is a wasteful number, since it uses less digits than its factorization.

21131431212441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272374292.

The product of its digits is 4608, while the sum is 30.

Adding to 21131431212441 its reverse (14421213413112), we get a palindrome (35552644625553).

The spelling of 21131431212441 in words is "twenty-one trillion, one hundred thirty-one billion, four hundred thirty-one million, two hundred twelve thousand, four hundred forty-one".

Divisors: 1 3 11 33 2351 7053 25861 77583 272371927 817115781 2996091197 8988273591 640346400377 1921039201131 7043810404147 21131431212441