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21202100001 = 341776120233
BaseRepresentation
bin10011101111101111…
…100101111100100001
32000201121111021110000
4103233233211330201
5321410214200001
613423510330213
71350256606425
oct235757457441
960647437400
1021202100001
118aa003a5a5
124138659969
131ccb755c04
141051c00b85
1584156da86
hex4efbe5f21

21202100001 has 40 divisors (see below), whose sum is σ = 33581074824. Its totient is φ = 13285140480.

The previous prime is 21202099987. The next prime is 21202100033. The reversal of 21202100001 is 10000120212.

It can be written as a sum of positive squares in 4 ways, for example, as 711608976 + 20490491025 = 26676^2 + 143145^2 .

It is not a de Polignac number, because 21202100001 - 26 = 21202099937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (21202102001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1037781 + ... + 1058013.

Almost surely, 221202100001 is an apocalyptic number.

It is an amenable number.

21202100001 is a deficient number, since it is larger than the sum of its proper divisors (12378974823).

21202100001 is a wasteful number, since it uses less digits than its factorization.

21202100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21023 (or 21014 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21202100001 its reverse (10000120212), we get a palindrome (31202220213).

The spelling of 21202100001 in words is "twenty-one billion, two hundred two million, one hundred thousand, one".

Divisors: 1 3 9 17 27 51 81 153 459 761 1377 2283 6849 12937 20233 20547 38811 60699 61641 116433 182097 343961 349299 546291 1031883 1047897 1638873 3095649 9286947 15397313 27860841 46191939 138575817 261754321 415727451 785262963 1247182353 2355788889 7067366667 21202100001