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21131233101 = 351112896133
BaseRepresentation
bin10011101011100001…
…010000011101001101
32000112200010212100000
4103223201100131031
5321234043424401
613412455354513
71345436342406
oct235341203515
960480125300
1021131233101
118a64037210
124118982a39
131cb9b72934
1410466349ad
1583a221186
hex4eb85074d

21131233101 has 48 divisors (see below), whose sum is σ = 34563372480. Its totient is φ = 12794785920.

The previous prime is 21131233069. The next prime is 21131233157. The reversal of 21131233101 is 10133213112.

21131233101 is a `hidden beast` number, since 21 + 1 + 312 + 331 + 0 + 1 = 666.

It is not a de Polignac number, because 21131233101 - 25 = 21131233069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131233181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3442431 + ... + 3448563.

It is an arithmetic number, because the mean of its divisors is an integer number (720070260).

Almost surely, 221131233101 is an apocalyptic number.

It is an amenable number.

21131233101 is a deficient number, since it is larger than the sum of its proper divisors (13432139379).

21131233101 is a wasteful number, since it uses less digits than its factorization.

21131233101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448 (or 7436 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21131233101 its reverse (10133213112), we get a palindrome (31264446213).

The spelling of 21131233101 in words is "twenty-one billion, one hundred thirty-one million, two hundred thirty-three thousand, one hundred one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 1289 2673 3867 6133 11601 14179 18399 34803 42537 55197 67463 104409 127611 165591 202389 313227 382833 496773 607167 1148499 1490319 1821501 3445497 5464503 7905437 16393509 23716311 71148933 86959807 213446799 260879421 640340397 782638263 1921021191 2347914789 7043744367 21131233101