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21131222301 = 337307364187
BaseRepresentation
bin10011101011100001…
…001101110100011101
32000112200010022112000
4103223201031310131
5321234043103201
613412455232513
71345436266050
oct235341156435
960480108460
1021131222301
118a6402a092
124118978739
131cb9b6aa47
141046630a97
1583a21cd86
hex4eb84dd1d

21131222301 has 32 divisors (see below), whose sum is σ = 35894369280. Its totient is φ = 12035618928.

The previous prime is 21131222293. The next prime is 21131222311. The reversal of 21131222301 is 10322213112.

It is not a de Polignac number, because 21131222301 - 23 = 21131222293 is a prime.

It is a super-3 number, since 3×211312223013 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131222311) 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 31 ways as a sum of consecutive naturals, for example, 124071 + ... + 240116.

It is an arithmetic number, because the mean of its divisors is an integer number (1121699040).

Almost surely, 221131222301 is an apocalyptic number.

21131222301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21131222301 is a deficient number, since it is larger than the sum of its proper divisors (14763146979).

21131222301 is a wasteful number, since it uses less digits than its factorization.

21131222301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364510 (or 364504 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21131222301 its reverse (10322213112), we get a palindrome (31453435413).

The spelling of 21131222301 in words is "twenty-one billion, one hundred thirty-one million, two hundred twenty-two thousand, three hundred one".

Divisors: 1 3 7 9 21 27 63 189 307 921 2149 2763 6447 8289 19341 58023 364187 1092561 2549309 3277683 7647927 9833049 22943781 68831343 111805409 335416227 782637863 1006248681 2347913589 3018746043 7043740767 21131222301