Search a number
-
+
13131432412 = 22723137314851
BaseRepresentation
bin11000011101011000…
…11100000111011100
31020220011002212211121
430032230130013130
5203343121314122
610011004100324
7643260222340
oct141654340734
936804085747
1013131432412
11562939558a
1226658346a4
13131369c467
148c7dbd620
1551cc64bc7
hex30eb1c1dc

13131432412 has 48 divisors (see below), whose sum is σ = 27426534912. Its totient is φ = 5378788800.

The previous prime is 13131432403. The next prime is 13131432421. The reversal of 13131432412 is 21423413131.

13131432412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13131432403) and next prime (13131432421).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876787 + ... + 891637.

It is an arithmetic number, because the mean of its divisors is an integer number (571386144).

Almost surely, 213131432412 is an apocalyptic number.

It is an amenable number.

13131432412 is an abundant number, since it is smaller than the sum of its proper divisors (14295102500).

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

13131432412 is a wasteful number, since it uses less digits than its factorization.

13131432412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16258 (or 16256 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

Adding to 13131432412 its reverse (21423413131), we get a palindrome (34554845543).

The spelling of 13131432412 in words is "thirteen billion, one hundred thirty-one million, four hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 1373 2746 5492 9611 14851 19222 29702 31579 38444 59404 63158 103957 126316 207914 221053 341573 415828 442106 683146 884212 1366292 2391011 4782022 9564044 20390423 40780846 81561692 142732961 285465922 468979729 570931844 937959458 1875918916 3282858103 6565716206 13131432412