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403213013 = 7229377669
BaseRepresentation
bin11000000010001…
…000101011010101
31001002201100021022
4120002020223111
51311210304023
6104002130525
712664153100
oct3002105325
91032640238
10403213013
1119766a9a5
12b3050a45
13656c7ba8
143b79d737
15255ea7c8
hex18088ad5

403213013 has 24 divisors (see below), whose sum is σ = 498396600. Its totient is φ = 324632448.

The previous prime is 403213009. The next prime is 403213037. The reversal of 403213013 is 310312304.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 251603044 + 151609969 = 15862^2 + 12313^2 .

It is not a de Polignac number, because 403213013 - 22 = 403213009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 403212982 and 403213000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403213093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48743 + ... + 56411.

It is an arithmetic number, because the mean of its divisors is an integer number (20766525).

Almost surely, 2403213013 is an apocalyptic number.

It is an amenable number.

403213013 is a deficient number, since it is larger than the sum of its proper divisors (95183587).

403213013 is a wasteful number, since it uses less digits than its factorization.

403213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7749 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 403213013 is about 20080.1646656595. The cubic root of 403213013 is about 738.7738478124.

Adding to 403213013 its reverse (310312304), we get a palindrome (713525317).

It can be divided in two parts, 40321 and 3013, that added together give a palindrome (43334).

The spelling of 403213013 in words is "four hundred three million, two hundred thirteen thousand, thirteen".

Divisors: 1 7 29 37 49 203 259 1073 1421 1813 7511 7669 52577 53683 222401 283753 375781 1556807 1986271 8228837 10897649 13903897 57601859 403213013