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5313414132 = 223313107113313
BaseRepresentation
bin1001111001011010…
…00100001111110100
3111201022010101221000
410330231010033310
541340213223012
62235124523300
7245446163205
oct47455041764
914638111830
105313414132
112287313754
121043550530
13668a75240
143859675ac
15211714ddc
hex13cb443f4

5313414132 has 192 divisors, whose sum is σ = 15154594560. Its totient is φ = 1600155648.

The previous prime is 5313414121. The next prime is 5313414143. The reversal of 5313414132 is 2314143135.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5313414121) and next prime (5313414143).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5313414096 and 5313414105.

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 63 ways as a sum of consecutive naturals, for example, 16975608 + ... + 16975920.

It is an arithmetic number, because the mean of its divisors is an integer number (78930180).

Almost surely, 25313414132 is an apocalyptic number.

5313414132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5313414132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577297280).

5313414132 is an abundant number, since it is smaller than the sum of its proper divisors (9841180428).

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

5313414132 is a wasteful number, since it uses less digits than its factorization.

5313414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 5313414132 is about 72893.1693096136. The cubic root of 5313414132 is about 1744.9830877691.

Adding to 5313414132 its reverse (2314143135), we get a palindrome (7627557267).

The spelling of 5313414132 in words is "five billion, three hundred thirteen million, four hundred fourteen thousand, one hundred thirty-two".