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21221001220104 = 2335712171281389
BaseRepresentation
bin1001101001100111001100…
…01111010101000000001000
32210010201010001200010200000
410310303212033111000020
510240141102303020404
6113044443211443000
74320111123113610
oct464634617250010
983121101603600
1021221001220104
116841859a5a684
122468932456460
13bac19381c9aa
1453515da15a40
1526c018660339
hex134ce63d5008

21221001220104 has 192 divisors, whose sum is σ = 68172818313600. Its totient is φ = 6058156437504.

The previous prime is 21221001220099. The next prime is 21221001220109. The reversal of 21221001220104 is 40102210012212.

It is an interprime number because it is at equal distance from previous prime (21221001220099) and next prime (21221001220109).

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

It is not an unprimeable number, because it can be changed into a prime (21221001220109) 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 47 ways as a sum of consecutive naturals, for example, 15920242 + ... + 17201630.

It is an arithmetic number, because the mean of its divisors is an integer number (355066762050).

Almost surely, 221221001220104 is an apocalyptic number.

21221001220104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221001220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34086409156800).

21221001220104 is an abundant number, since it is smaller than the sum of its proper divisors (46951817093496).

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

21221001220104 is a wasteful number, since it uses less digits than its factorization.

21221001220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282634 (or 1282618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21221001220104 its reverse (40102210012212), we get a palindrome (61323211232316).

The spelling of 21221001220104 in words is "twenty-one trillion, two hundred twenty-one billion, one million, two hundred twenty thousand, one hundred four".