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10003023121 = 721315703333
BaseRepresentation
bin10010101000011101…
…00000010100010001
3221211010110020001211
421110032200110101
5130441233214441
64332331300121
7502612202500
oct112416402421
927733406054
1010003023121
11427349a363
121b31baa641
13c355084c0
146ac70c837
153d82a8a81
hex2543a0511

10003023121 has 12 divisors (see below), whose sum is σ = 12531260532. Its totient is φ = 7914479328.

The previous prime is 10003023103. The next prime is 10003023131. The reversal of 10003023121 is 12132030001.

It can be written as a sum of positive squares in 2 ways, for example, as 870545025 + 9132478096 = 29505^2 + 95564^2 .

It is not a de Polignac number, because 10003023121 - 29 = 10003022609 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10003023131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7851030 + ... + 7852303.

It is an arithmetic number, because the mean of its divisors is an integer number (1044271711).

Almost surely, 210003023121 is an apocalyptic number.

It is an amenable number.

10003023121 is a deficient number, since it is larger than the sum of its proper divisors (2528237411).

10003023121 is a wasteful number, since it uses less digits than its factorization.

10003023121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15703360 (or 15703353 counting only the distinct ones).

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

Adding to 10003023121 its reverse (12132030001), we get a palindrome (22135053122).

It can be divided in two parts, 1000 and 3023121, that added together give a square (3024121 = 17392).

The spelling of 10003023121 in words is "ten billion, three million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 7 13 49 91 637 15703333 109923331 204143329 769463317 1429003303 10003023121