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332141313 = 3773216661
BaseRepresentation
bin10011110011000…
…001001100000001
3212010222112020010
4103303001030001
51140012010223
652542535133
711142104010
oct2363011401
9763875203
10332141313
11160537759
12932974a9
1353a7262a
143217ca77
151e25c393
hex13cc1301

332141313 has 16 divisors (see below), whose sum is σ = 513055616. Its totient is φ = 187194240.

The previous prime is 332141309. The next prime is 332141317. The reversal of 332141313 is 313141233.

It is an interprime number because it is at equal distance from previous prime (332141309) and next prime (332141317).

It is not a de Polignac number, because 332141313 - 22 = 332141309 is a prime.

It is a super-3 number, since 3×3321413133 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 332141313.

It is not an unprimeable number, because it can be changed into a prime (332141317) 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 15 ways as a sum of consecutive naturals, for example, 106798 + ... + 109863.

It is an arithmetic number, because the mean of its divisors is an integer number (32065976).

Almost surely, 2332141313 is an apocalyptic number.

It is an amenable number.

332141313 is a deficient number, since it is larger than the sum of its proper divisors (180914303).

332141313 is a wasteful number, since it uses less digits than its factorization.

332141313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216744.

The product of its digits is 648, while the sum is 21.

The square root of 332141313 is about 18224.7445249584. The cubic root of 332141313 is about 692.5337864456.

Adding to 332141313 its reverse (313141233), we get a palindrome (645282546).

The spelling of 332141313 in words is "three hundred thirty-two million, one hundred forty-one thousand, three hundred thirteen".

Divisors: 1 3 7 21 73 219 511 1533 216661 649983 1516627 4549881 15816253 47448759 110713771 332141313