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112420423423341 = 321123101590382811
BaseRepresentation
bin11001100011111011101011…
…011001110101010101101101
3112202001021202121020101221200
4121203323223121311111231
5104213344011344021331
61035033121325520113
732452051615252125
oct3143735331652555
9482037677211850
10112420423423341
1132903263256640
12107379b8413039
134a9627b4a1737
141da926b1b9c85
15cee4a70e35e6
hex663eeb67556d

112420423423341 has 96 divisors (see below), whose sum is σ = 186713463066624. Its totient is φ = 64514289840000.

The previous prime is 112420423423333. The next prime is 112420423423369. The reversal of 112420423423341 is 143324324024211.

112420423423341 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 204 + 23 + 423 + 3 + 4 + 1 = 666.

It is not a de Polignac number, because 112420423423341 - 23 = 112420423423333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112420423423296 and 112420423423305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112420423473341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1357512826 + ... + 1357595636.

It is an arithmetic number, because the mean of its divisors is an integer number (1944931906944).

Almost surely, 2112420423423341 is an apocalyptic number.

112420423423341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112420423423341 is a deficient number, since it is larger than the sum of its proper divisors (74293039643283).

112420423423341 is a wasteful number, since it uses less digits than its factorization.

112420423423341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88855 (or 88852 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 112420423423341 its reverse (143324324024211), we get a palindrome (255744747447552).

The spelling of 112420423423341 in words is "one hundred twelve trillion, four hundred twenty billion, four hundred twenty-three million, four hundred twenty-three thousand, three hundred forty-one".

Divisors: 1 3 9 11 23 33 69 99 101 207 253 303 759 909 1111 2277 2323 3333 5903 6969 9999 17709 20907 25553 53127 64933 76659 82811 135769 194799 229977 248433 407307 584397 596203 745299 910921 1221921 1493459 1788609 1904653 2732763 4480377 5365827 5713959 6558233 8198289 8363911 13441131 13712669 17141877 19674699 20951183 25091733 41138007 59024097 62853549 75275199 92003021 123414021 150839359 188560647 192369953 276009063 452518077 488833333 577109859 828027189 1357554231 1466499999 1731329577 2116069483 4399499997 5377166663 6348208449 11243166659 16131499989 19044625347 33729499977 48394499967 49372166633 101188499931 123674833249 148116499899 371024499747 444349499697 543093832963 1113073499241 1135559832559 1629281498889 3406679497677 4887844496667 10220038493031 12491158158149 37473474474447 112420423423341