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21020202221200 = 2452731321753327
BaseRepresentation
bin1001100011110001001011…
…01011111011111010010000
32202102111211000221002201121
410301320211223323322100
510223343333232034300
6112412314140212024
74266442130563000
oct461704553737220
982374730832647
1021020202221200
116774688181806
122435a3323a014
13b96272b0b500
1452955178a000
15266bb4eb081a
hex131e25afbe90

21020202221200 has 720 divisors, whose sum is σ = 67524638860800. Its totient is φ = 6261103779840.

The previous prime is 21020202221177. The next prime is 21020202221201. The reversal of 21020202221200 is 212220202012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21020202221201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 394148937 + ... + 394202263.

It is an arithmetic number, because the mean of its divisors is an integer number (93784220640).

Almost surely, 221020202221200 is an apocalyptic number.

21020202221200 is a gapful number since it is divisible by the number (20) 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 21020202221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33762319430400).

21020202221200 is an abundant number, since it is smaller than the sum of its proper divisors (46504436639600).

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

21020202221200 is a wasteful number, since it uses less digits than its factorization.

21020202221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53409 (or 53371 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21020202221200 its reverse (212220202012), we get a palindrome (21232422423212).

The spelling of 21020202221200 in words is "twenty-one trillion, twenty billion, two hundred two million, two hundred twenty-one thousand, two hundred".