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202020331201 = 13149397262709
BaseRepresentation
bin1011110000100101011…
…0011001111011000001
3201022110010220010212221
42330021112121323001
511302214201044301
6232450140451041
720411152324303
oct2741126317301
9638403803787
10202020331201
1178749234a07
12331a0249a81
1316086a64620
149ac654d973
1553c5a00da1
hex2f09599ec1

202020331201 has 16 divisors (see below), whose sum is σ = 219573018000. Its totient is φ = 184761485568.

The previous prime is 202020331189. The next prime is 202020331207. The reversal of 202020331201 is 102133020202.

202020331201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17996490801 + 184023840400 = 134151^2 + 428980^2 .

It is a cyclic number.

It is not a de Polignac number, because 202020331201 - 25 = 202020331169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202020331207) 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 15 ways as a sum of consecutive naturals, for example, 637635 + ... + 900343.

It is an arithmetic number, because the mean of its divisors is an integer number (13723313625).

Almost surely, 2202020331201 is an apocalyptic number.

It is an amenable number.

202020331201 is a deficient number, since it is larger than the sum of its proper divisors (17552686799).

202020331201 is a wasteful number, since it uses less digits than its factorization.

202020331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263268.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 202020331201 its reverse (102133020202), we get a palindrome (304153351403).

The spelling of 202020331201 in words is "two hundred two billion, twenty million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 13 149 397 1937 5161 59153 262709 768989 3415217 39143641 104295473 508867333 1355841149 15540025477 202020331201