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202103210101 = 131571812292389
BaseRepresentation
bin1011110000111001001…
…0100100000001110101
3201022122220211211100211
42330032102210001311
511302401410210401
6232502301105421
720413206640612
oct2741622440165
9638586754324
10202103210101
1178790aa2071
1233203b58271
131609ac921b0
149ad3565509
1553cce22951
hex2f0e4a4075

202103210101 has 32 divisors (see below), whose sum is σ = 221300424800. Its totient is φ = 183462589440.

The previous prime is 202103210087. The next prime is 202103210161. The reversal of 202103210101 is 101012301202.

It can be written as a sum of positive squares in 16 ways, for example, as 127699737201 + 74403472900 = 357351^2 + 272770^2 .

It is not a de Polignac number, because 202103210101 - 211 = 202103208053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202103210161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84596215 + ... + 84598603.

It is an arithmetic number, because the mean of its divisors is an integer number (6915638275).

Almost surely, 2202103210101 is an apocalyptic number.

It is an amenable number.

202103210101 is a deficient number, since it is larger than the sum of its proper divisors (19197214699).

202103210101 is a wasteful number, since it uses less digits than its factorization.

202103210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 202103210101 its reverse (101012301202), we get a palindrome (303115511303).

The spelling of 202103210101 in words is "two hundred two billion, one hundred three million, two hundred ten thousand, one hundred one".

Divisors: 1 13 157 181 229 2041 2353 2389 2977 28417 31057 35953 41449 369421 375073 432409 467389 538837 547081 4875949 5621317 6507493 7112053 67888213 84597409 85891717 99021661 882546769 1116592321 1287281593 15546400777 202103210101