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10003022113 = 729371331783
BaseRepresentation
bin10010101000011101…
…00000000100100001
3221211010110011200111
421110032200010201
5130441233201423
64332331251321
7502612166530
oct112416400441
927733404614
1010003022113
114273499627
121b31ba9b41
13c35507bc6
146ac70c317
153d82a860d
hex2543a0121

10003022113 has 16 divisors (see below), whose sum is σ = 12145870080. Its totient is φ = 8054617536.

The previous prime is 10003022087. The next prime is 10003022147. The reversal of 10003022113 is 31122030001.

It is not a de Polignac number, because 10003022113 - 213 = 10003013921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10003022093 and 10003022102.

It is not an unprimeable number, because it can be changed into a prime (10003020113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658381 + ... + 673402.

It is an arithmetic number, because the mean of its divisors is an integer number (759116880).

Almost surely, 210003022113 is an apocalyptic number.

It is an amenable number.

10003022113 is a deficient number, since it is larger than the sum of its proper divisors (2142847967).

10003022113 is a wasteful number, since it uses less digits than its factorization.

10003022113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331856.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10003022113 its reverse (31122030001), we get a palindrome (41125052114).

The spelling of 10003022113 in words is "ten billion, three million, twenty-two thousand, one hundred thirteen".

Divisors: 1 7 29 37 203 259 1073 7511 1331783 9322481 38621707 49275971 270351949 344931797 1429003159 10003022113