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10003122126 = 232555729007
BaseRepresentation
bin10010101000011101…
…11000011111001110
3221211010122020212200
421110032320133032
5130441244402001
64332333342330
7502613064234
oct112416703716
927733566780
1010003122126
114273557788
121b320379a6
13c3554159a
146ac736954
153d82c8086
hex2543b87ce

10003122126 has 12 divisors (see below), whose sum is σ = 21673431312. Its totient is φ = 3334374036.

The previous prime is 10003122091. The next prime is 10003122127. The reversal of 10003122126 is 62122130001.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 555729007 = 10003122126 / (1 + 0 + 0 + 0 + 3 + 1 + 2 + 2 + 1 + 2 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 10003122099 and 10003122108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003122127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 277864486 + ... + 277864521.

It is an arithmetic number, because the mean of its divisors is an integer number (1806119276).

Almost surely, 210003122126 is an apocalyptic number.

10003122126 is an abundant number, since it is smaller than the sum of its proper divisors (11670309186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10003122126 is a wasteful number, since it uses less digits than its factorization.

10003122126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555729015 (or 555729012 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10003122126 its reverse (62122130001), we get a palindrome (72125252127).

The spelling of 10003122126 in words is "ten billion, three million, one hundred twenty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 555729007 1111458014 1667187021 3334374042 5001561063 10003122126