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1323220330131 = 37433893766993
BaseRepresentation
bin10011010000010110000…
…100111110011010010011
311200111110111111102221020
4103100112010332122103
5133134423401031011
62451513511530523
7164412430141020
oct23202604763223
94614414442836
101323220330131
114701a141a977
12194547989a43
1397a18a0b35b
144808942c547
1524647758006
hex1341613e693

1323220330131 has 32 divisors (see below), whose sum is σ = 2068531745280. Its totient is φ = 736642819584.

The previous prime is 1323220330129. The next prime is 1323220330147. The reversal of 1323220330131 is 1310330223231.

It is not a de Polignac number, because 1323220330131 - 21 = 1323220330129 is a prime.

It is a super-3 number, since 3×13232203301313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1323220330121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1532230 + ... + 2234763.

It is an arithmetic number, because the mean of its divisors is an integer number (64641617040).

Almost surely, 21323220330131 is an apocalyptic number.

1323220330131 is a deficient number, since it is larger than the sum of its proper divisors (745311415149).

1323220330131 is a wasteful number, since it uses less digits than its factorization.

1323220330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767435.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1323220330131 its reverse (1310330223231), we get a palindrome (2633550553362).

The spelling of 1323220330131 in words is "one trillion, three hundred twenty-three billion, two hundred twenty million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 7 21 43 129 301 389 903 1167 2723 8169 16727 50181 117089 351267 3766993 11300979 26368951 79106853 161980699 485942097 1133864893 1465360277 3401594679 4396080831 10257521939 30772565817 63010491911 189031475733 441073443377 1323220330131