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10003300021 = 1121317834507
BaseRepresentation
bin10010101000011111…
…00011111010110101
3221211010222021220101
421110033203322311
5130441321100041
64332341234101
7502614435001
oct112417437265
927733867811
1010003300021
114273669400
121b32102931
13c355a4550
146ac781701
153d8310b31
hex2543e3eb5

10003300021 has 48 divisors (see below), whose sum is σ = 12691570752. Its totient is φ = 7803671040.

The previous prime is 10003300019. The next prime is 10003300061. The reversal of 10003300021 is 12000330001.

It is not a de Polignac number, because 10003300021 - 21 = 10003300019 is a prime.

It is a super-2 number, since 2×100033000212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10003299980 and 10003300007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003300061) 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 47 ways as a sum of consecutive naturals, for example, 2217250 + ... + 2221756.

It is an arithmetic number, because the mean of its divisors is an integer number (264407724).

Almost surely, 210003300021 is an apocalyptic number.

10003300021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10003300021 is a deficient number, since it is larger than the sum of its proper divisors (2688270731).

10003300021 is a wasteful number, since it uses less digits than its factorization.

10003300021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10003300021 its reverse (12000330001), we get a palindrome (22003630022).

The spelling of 10003300021 in words is "ten billion, three million, three hundred thousand, twenty-one".

Divisors: 1 11 13 17 83 121 143 187 221 913 1079 1411 1573 2057 2431 4507 10043 11869 15521 18343 26741 49577 58591 76619 130559 170731 201773 374081 545347 644501 842809 996047 2219503 4114891 4863053 6359377 7089511 9270899 10956517 45263801 53493583 69953147 82671901 120521687 588429413 769484617 909390911 10003300021