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3132121013 = 72107597391
BaseRepresentation
bin1011101010110000…
…0101111110110101
322002021122020021222
42322230011332311
522403310333023
61234444120125
7140421406100
oct27254057665
98067566258
103132121013
11136800096a
12734b36045
133abb93558
14219d99737
15134e90cc8
hexbab05fb5

3132121013 has 12 divisors (see below), whose sum is σ = 3677545152. Its totient is φ = 2659580280.

The previous prime is 3132121009. The next prime is 3132121033. The reversal of 3132121013 is 3101212313.

It is not a de Polignac number, because 3132121013 - 22 = 3132121009 is a prime.

It is a super-2 number, since 2×31321210132 = 19620364080152292338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3132120982 and 3132121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132121033) 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 11 ways as a sum of consecutive naturals, for example, 293453 + ... + 303938.

It is an arithmetic number, because the mean of its divisors is an integer number (306462096).

Almost surely, 23132121013 is an apocalyptic number.

It is an amenable number.

3132121013 is a deficient number, since it is larger than the sum of its proper divisors (545424139).

3132121013 is a wasteful number, since it uses less digits than its factorization.

3132121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597512 (or 597505 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3132121013 is about 55965.3554710412. The cubic root of 3132121013 is about 1463.1185316385.

Adding to 3132121013 its reverse (3101212313), we get a palindrome (6233333326).

The spelling of 3132121013 in words is "three billion, one hundred thirty-two million, one hundred twenty-one thousand, thirteen".

Divisors: 1 7 49 107 749 5243 597391 4181737 29272159 63920837 447445859 3132121013