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21001321320030 = 23251671397293501
BaseRepresentation
bin1001100011001110000000…
…10011000000111001011110
32202100201002012011221110200
410301213000103000321132
510223041201224220110
6112355512425044330
74265203214555622
oct461470023007136
982321065157420
1021001321320030
116767679422257
1224322440266a6
13b9455424073c
1452867dd75182
1526645c5ee6c0
hex1319c04c0e5e

21001321320030 has 48 divisors (see below), whose sum is σ = 54930402150624. Its totient is φ = 5566817304000.

The previous prime is 21001321319921. The next prime is 21001321320037. The reversal of 21001321320030 is 3002312310012.

21001321320030 is a `hidden beast` number, since 21 + 0 + 0 + 1 + 321 + 320 + 0 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21001321319985 and 21001321320012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001321320037) 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 23 ways as a sum of consecutive naturals, for example, 698631721 + ... + 698661780.

It is an arithmetic number, because the mean of its divisors is an integer number (1144383378138).

Almost surely, 221001321320030 is an apocalyptic number.

21001321320030 is an abundant number, since it is smaller than the sum of its proper divisors (33929080830594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21001321320030 is a wasteful number, since it uses less digits than its factorization.

21001321320030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397293681 (or 1397293678 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21001321320030 its reverse (3002312310012), we get a palindrome (24003633630042).

The spelling of 21001321320030 in words is "twenty-one trillion, one billion, three hundred twenty-one million, three hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 167 334 501 835 1002 1503 1670 2505 3006 5010 7515 15030 1397293501 2794587002 4191880503 6986467505 8383761006 12575641509 13972935010 20959402515 25151283018 41918805030 62878207545 125756415090 233348014667 466696029334 700044044001 1166740073335 1400088088002 2100132132003 2333480146670 3500220220005 4200264264006 7000440440010 10500660660015 21001321320030