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21302202202013 = 371815413587633
BaseRepresentation
bin1001101011111110011100…
…01100011111011110011101
32210102110201002122102010102
410311333032030133132131
510243003402230431023
6113150032510350445
74326014300063315
oct465771614373635
983373632572112
1021302202202013
116873238883197
1224806144bb425
13bb6a34700b95
14539064098445
1526e1bc2b0628
hex135fce31f79d

21302202202013 has 16 divisors (see below), whose sum is σ = 22002911492016. Its totient is φ = 20608113208320.

The previous prime is 21302202201983. The next prime is 21302202202027. The reversal of 21302202202013 is 31020220220312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5978210821444 + 15323991380569 = 2445038^2 + 3914587^2 .

It is a cyclic number.

It is not a de Polignac number, because 21302202202013 - 210 = 21302202200989 is a prime.

It is a super-2 number, since 2×213022022020132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21302202202063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35957045 + ... + 36544677.

It is an arithmetic number, because the mean of its divisors is an integer number (1375181968251).

Almost surely, 221302202202013 is an apocalyptic number.

It is an amenable number.

21302202202013 is a deficient number, since it is larger than the sum of its proper divisors (700709290003).

21302202202013 is a wasteful number, since it uses less digits than its factorization.

21302202202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593264.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21302202202013 its reverse (31020220220312), we get a palindrome (52322422422325).

The spelling of 21302202202013 in words is "twenty-one trillion, three hundred two billion, two hundred two million, two hundred two thousand, thirteen".

Divisors: 1 37 181 5413 6697 200281 587633 979753 21742421 36250861 106361573 3180857429 3935378201 117691724873 575735194649 21302202202013