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20002102002021 = 3171914015120681
BaseRepresentation
bin1001000110001000110100…
…01011110100000101100101
32121211011220212202021100110
410203010122023310011211
510110203301103031041
6110312501103203233
74133050506524436
oct443043213640545
977734825667313
1020002102002021
116411931143297
1222b065b5a6519
13b21261922c09
144d216d4a948d
1524a479696516
hex12311a2f4165

20002102002021 has 32 divisors (see below), whose sum is σ = 28456899803136. Its totient is φ = 12453493760000.

The previous prime is 20002102001971. The next prime is 20002102002037. The reversal of 20002102002021 is 12020020120002.

It is a cyclic number.

It is not a de Polignac number, because 20002102002021 - 213 = 20002101993829 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20002102001988 and 20002102002006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002102402021) 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 31 ways as a sum of consecutive naturals, for example, 1345801 + ... + 6466481.

It is an arithmetic number, because the mean of its divisors is an integer number (889278118848).

Almost surely, 220002102002021 is an apocalyptic number.

It is an amenable number.

20002102002021 is a deficient number, since it is larger than the sum of its proper divisors (8454797801115).

20002102002021 is a wasteful number, since it uses less digits than its factorization.

20002102002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121293.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20002102002021 its reverse (12020020120002), we get a palindrome (32022122122023).

The spelling of 20002102002021 in words is "twenty trillion, two billion, one hundred two million, two thousand, twenty-one".

Divisors: 1 3 17 51 191 401 573 1203 3247 6817 9741 20451 76591 229773 1302047 3906141 5120681 15362043 87051577 261154731 978050071 2053393081 2934150213 6160179243 16626851207 34907682377 49880553621 104723047131 392198078471 1176594235413 6667367334007 20002102002021