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420122221025 = 521317611246561
BaseRepresentation
bin1100001110100010011…
…11000101100111100001
31111011102001002002222012
412013101033011213201
523340402242033100
6521000153122305
742232006646303
oct6072117054741
91434361062865
10420122221025
1115219a04a931
126950a0b9395
1330804439ac0
14164967c1973
15addd258135
hex61d13c59e1

420122221025 has 48 divisors (see below), whose sum is σ = 603764825328. Its totient is φ = 287207424000.

The previous prime is 420122221021. The next prime is 420122221109. The reversal of 420122221025 is 520122221024.

It can be written as a sum of positive squares in 24 ways, for example, as 407001893089 + 13120327936 = 637967^2 + 114544^2 .

It is not a de Polignac number, because 420122221025 - 22 = 420122221021 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420122221021) 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, 286256 + ... + 960305.

It is an arithmetic number, because the mean of its divisors is an integer number (12578433861).

Almost surely, 2420122221025 is an apocalyptic number.

It is an amenable number.

420122221025 is a deficient number, since it is larger than the sum of its proper divisors (183642604303).

420122221025 is a wasteful number, since it uses less digits than its factorization.

420122221025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246662 (or 1246657 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 420122221025 its reverse (520122221024), we get a palindrome (940244442049).

Subtracting 420122221025 from its reverse (520122221024), we obtain a palindrome (99999999999).

The spelling of 420122221025 in words is "four hundred twenty billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty-five".

Divisors: 1 5 13 17 25 61 65 85 221 305 325 425 793 1037 1105 1525 3965 5185 5525 13481 19825 25925 67405 337025 1246561 6232805 16205293 21191537 31164025 76040221 81026465 105957685 275489981 380201105 405132325 529788425 988522873 1292683757 1377449905 1901005525 4942614365 6463418785 6887249525 16804888841 24713071825 32317093925 84024444205 420122221025