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1313412021 = 32173843553
BaseRepresentation
bin100111001001001…
…0001001110110101
310101112102020120200
41032102101032311
510142213141041
6334154551113
744355550365
oct11622211665
93345366520
101313412021
11614428989
12307a38499
1317c15289c
14c66129a5
157a48e1b6
hex4e4913b5

1313412021 has 12 divisors (see below), whose sum is σ = 1908119148. Its totient is φ = 870545664.

The previous prime is 1313412017. The next prime is 1313412041. The reversal of 1313412021 is 1202143131.

It can be written as a sum of positive squares in 2 ways, for example, as 971568900 + 341843121 = 31170^2 + 18489^2 .

It is not a de Polignac number, because 1313412021 - 22 = 1313412017 is a prime.

It is a super-2 number, since 2×13134120212 = 3450102273814608882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313411985 and 1313412003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313412041) 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, 420220 + ... + 423333.

It is an arithmetic number, because the mean of its divisors is an integer number (159009929).

Almost surely, 21313412021 is an apocalyptic number.

It is an amenable number.

1313412021 is a deficient number, since it is larger than the sum of its proper divisors (594707127).

1313412021 is a wasteful number, since it uses less digits than its factorization.

1313412021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843732 (or 843729 counting only the distinct ones).

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

The square root of 1313412021 is about 36241.0267652560. The cubic root of 1313412021 is about 1095.1333271069.

Adding to 1313412021 its reverse (1202143131), we get a palindrome (2515555152).

The spelling of 1313412021 in words is "one billion, three hundred thirteen million, four hundred twelve thousand, twenty-one".

Divisors: 1 3 9 173 519 1557 843553 2530659 7591977 145934669 437804007 1313412021