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20221211230301 = 19213113714920947
BaseRepresentation
bin1001001100100000111100…
…00111001100000001011101
32122121010110222102100000102
410212100132013030001131
510122301020033332201
6111001255102310445
74154635315323314
oct446203607140135
978533428370012
1020221211230301
116496849634534
12232700a888425
13b38b0cc04853
144dc9d743927b
1525100057e26b
hex12641e1cc05d

20221211230301 has 48 divisors (see below), whose sum is σ = 21807798091200. Its totient is φ = 18744384372480.

The previous prime is 20221211230289. The next prime is 20221211230309. The reversal of 20221211230301 is 10303211212202.

It is not a de Polignac number, because 20221211230301 - 210 = 20221211229277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221211230309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965340710 + ... + 965361656.

It is an arithmetic number, because the mean of its divisors is an integer number (454329126900).

Almost surely, 220221211230301 is an apocalyptic number.

It is an amenable number.

20221211230301 is a deficient number, since it is larger than the sum of its proper divisors (1586586860899).

20221211230301 is a wasteful number, since it uses less digits than its factorization.

20221211230301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21402 (or 21383 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 20221211230301 its reverse (10303211212202), we get a palindrome (30524422442503).

The spelling of 20221211230301 in words is "twenty trillion, two hundred twenty-one billion, two hundred eleven million, two hundred thirty thousand, three hundred one".

Divisors: 1 19 131 137 149 361 2489 2603 2831 17947 19519 20413 20947 47291 49457 53789 340993 370861 387847 397993 2674103 2744057 2869739 3121103 6478867 7046359 7369093 7561867 50807957 52137083 54525041 59300957 375935809 408864493 427591111 965351183 990604577 1035975779 1126718183 7142780371 7768425367 8124231109 56014435541 135712827049 147600081973 154360391071 1064274275279 20221211230301