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12131003021 = 172291447441
BaseRepresentation
bin10110100110001000…
…00110101010001101
31011022102121210201012
423103010012222031
5144321014044041
65323425255005
7606421552514
oct132304065215
934272553635
1012131003021
1151656a9135
122426794465
1311b43419c7
1483119d67b
154aeeeb3eb
hex2d3106a8d

12131003021 has 12 divisors (see below), whose sum is σ = 13330940820. Its totient is φ = 11023703040.

The previous prime is 12131002993. The next prime is 12131003047. The reversal of 12131003021 is 12030013121.

It can be written as a sum of positive squares in 6 ways, for example, as 12075625 + 12118927396 = 3475^2 + 110086^2 .

It is not a de Polignac number, because 12131003021 - 218 = 12130740877 is a prime.

It is a super-2 number, since 2×121310030212 (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 = 12131002987 and 12131003005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131006021) 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, 715340 + ... + 732101.

It is an arithmetic number, because the mean of its divisors is an integer number (1110911735).

Almost surely, 212131003021 is an apocalyptic number.

It is an amenable number.

12131003021 is a deficient number, since it is larger than the sum of its proper divisors (1199937799).

12131003021 is a wasteful number, since it uses less digits than its factorization.

12131003021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447504 (or 1447487 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12131003021 its reverse (12030013121), we get a palindrome (24161016142).

It can be divided in two parts, 1213100 and 3021, that added together give a palindrome (1216121).

The spelling of 12131003021 in words is "twelve billion, one hundred thirty-one million, three thousand, twenty-one".

Divisors: 1 17 29 289 493 8381 1447441 24606497 41975789 418310449 713588413 12131003021