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21442113304131 = 31335914931025767
BaseRepresentation
bin1001110000000011000011…
…00010111111011001000011
32210220211211202001210220110
410320001201202333121003
510302301422001213011
6113334212035042403
74342066361610162
oct470014142773103
983824752053813
1021442113304131
116917604a69003
1224a3760440403
13bc6ca0a38780
14541b379853d9
15272b5a2c1ba6
hex1380618bf643

21442113304131 has 32 divisors (see below), whose sum is σ = 30895147422720. Its totient is φ = 13149565156224.

The previous prime is 21442113304121. The next prime is 21442113304141. The reversal of 21442113304131 is 13140331124412.

It is an interprime number because it is at equal distance from previous prime (21442113304121) and next prime (21442113304141).

It is not a de Polignac number, because 21442113304131 - 221 = 21442111206979 is a prime.

It is a super-3 number, since 3×214421133041313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (21442113304121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20390610 + ... + 21416376.

It is an arithmetic number, because the mean of its divisors is an integer number (965473356960).

Almost surely, 221442113304131 is an apocalyptic number.

21442113304131 is a deficient number, since it is larger than the sum of its proper divisors (9453034118589).

21442113304131 is a wasteful number, since it uses less digits than its factorization.

21442113304131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027635.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 21442113304131 its reverse (13140331124412), we get a palindrome (34582444428543).

The spelling of 21442113304131 in words is "twenty-one trillion, four hundred forty-two billion, one hundred thirteen million, three hundred four thousand, one hundred thirty-one".

Divisors: 1 3 13 39 359 1077 1493 4479 4667 14001 19409 58227 535987 1025767 1607961 3077301 6967831 13334971 20903493 40004913 368250353 1104751059 1531470131 4594410393 4787254589 14361763767 19909111703 59727335109 549797777029 1649393331087 7147371101377 21442113304131