Search a number
-
+
21212110202301 = 3234753511269337
BaseRepresentation
bin1001101001010110101000…
…10010110010010110111101
32210002212011102122122010100
410310223110102302112331
510240014400202433201
6113040413042231313
74316344602525114
oct464532422622675
983085142578110
1021212110202301
116839007235387
122467070955539
13bab3a7809705
14534958c8cc7b
1526bb97d0e886
hex134ad44b25bd

21212110202301 has 24 divisors (see below), whose sum is σ = 30733780319424. Its totient is φ = 14098007217600.

The previous prime is 21212110202243. The next prime is 21212110202329. The reversal of 21212110202301 is 10320201121212.

21212110202301 is a `hidden beast` number, since 21 + 212 + 110 + 20 + 2 + 301 = 666.

It is not a de Polignac number, because 21212110202301 - 210 = 21212110201277 is a prime.

It is a super-4 number, since 4×212121102023014 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212110202401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16076505 + ... + 17345841.

It is an arithmetic number, because the mean of its divisors is an integer number (1280574179976).

Almost surely, 221212110202301 is an apocalyptic number.

It is an amenable number.

21212110202301 is a deficient number, since it is larger than the sum of its proper divisors (9521670117123).

21212110202301 is a wasteful number, since it uses less digits than its factorization.

21212110202301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275041 (or 1275038 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21212110202301 its reverse (10320201121212), we get a palindrome (31532311323513).

The spelling of 21212110202301 in words is "twenty-one trillion, two hundred twelve billion, one hundred ten million, two hundred two thousand, three hundred one".

Divisors: 1 3 9 347 1041 3123 5351 16053 48159 1269337 1856797 3808011 5570391 11424033 16711173 440459939 1321379817 3964139451 6792222287 20376666861 61130000583 2356901133589 7070703400767 21212110202301