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1331013124324 = 2213613174013301
BaseRepresentation
bin10011010111100110100…
…100001000000011100100
311201020120121000101220101
4103113212210020003210
5133301403324434244
62455243050313444
7165106513612432
oct23274644100344
94636517011811
101331013124324
11473530233554
12195b61728884
139868b343390
14485c8399d52
15249519740d4
hex135e69080e4

1331013124324 has 96 divisors (see below), whose sum is σ = 2564767531872. Its totient is φ = 600652800000.

The previous prime is 1331013124313. The next prime is 1331013124351. The reversal of 1331013124324 is 4234213101331.

It can be written as a sum of positive squares in 16 ways, for example, as 914639751424 + 416373372900 = 956368^2 + 645270^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1331013124292 and 1331013124301.

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 31 ways as a sum of consecutive naturals, for example, 403213474 + ... + 403216774.

It is an arithmetic number, because the mean of its divisors is an integer number (26716328457).

Almost surely, 21331013124324 is an apocalyptic number.

It is an amenable number.

1331013124324 is a deficient number, since it is larger than the sum of its proper divisors (1233754407548).

1331013124324 is a wasteful number, since it uses less digits than its factorization.

1331013124324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 1331013124324 its reverse (4234213101331), we get a palindrome (5565226225655).

The spelling of 1331013124324 in words is "one trillion, three hundred thirty-one billion, thirteen million, one hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 13 26 52 61 122 244 317 401 634 793 802 1268 1586 1604 3172 3301 4121 5213 6602 8242 10426 13204 16484 19337 20852 24461 38674 42913 48922 77348 85826 97844 127117 171652 201361 251381 254234 317993 402722 502762 508468 635986 805444 1005524 1046417 1271972 1323701 1652521 2092834 2617693 2647402 3305042 4185668 5235386 5294804 6610084 7754137 10470772 13603421 15508274 17208113 27206842 31016548 34416226 54413684 63831437 68832452 80745761 100803781 127662874 161491522 201607562 255325748 322983044 403215124 419613217 829808681 839226434 1049694893 1659617362 1678452868 2099389786 3319234724 4198779572 5454971821 10909943642 21819887284 25596406237 51192812474 102385624948 332753281081 665506562162 1331013124324