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21313031300101 = 1923132103369191
BaseRepresentation
bin1001101100010010100111…
…01010001110010000000101
32210110111122210111121000101
410312021103222032100011
510243143042003100401
6113155023231444101
74326546532643002
oct466112352162005
983414583447011
1021313031300101
1168778955a2932
122482737086631
13bb7a6c0bb828
145397b039c8a9
1526e602d42101
hex136253a8e405

21313031300101 has 16 divisors (see below), whose sum is σ = 23410435184640. Its totient is φ = 19313212002480.

The previous prime is 21313031300089. The next prime is 21313031300123. The reversal of 21313031300101 is 10100313031312.

It is a cyclic number.

It is not a de Polignac number, because 21313031300101 - 233 = 21304441365509 is a prime.

It is a super-2 number, since 2×213130313001012 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21313031300161) 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 15 ways as a sum of consecutive naturals, for example, 57544416 + ... + 57913606.

It is an arithmetic number, because the mean of its divisors is an integer number (1463152199040).

Almost surely, 221313031300101 is an apocalyptic number.

It is an amenable number.

21313031300101 is a deficient number, since it is larger than the sum of its proper divisors (2097403884539).

21313031300101 is a wasteful number, since it uses less digits than its factorization.

21313031300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501336.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 21313031300101 its reverse (10100313031312), we get a palindrome (31413344331413).

The spelling of 21313031300101 in words is "twenty-one trillion, three hundred thirteen billion, thirty-one million, three hundred thousand, one hundred one".

Divisors: 1 19 23 437 132103 369191 2509957 3038369 7014629 8491393 57729011 161336467 48771238673 926653534787 1121738489479 21313031300101