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1021431302313 = 3194117314871699
BaseRepresentation
bin11101101110100100000…
…11001100100010101001
310121122111022012101101120
432313102003030202221
5113213342403133223
62101123345405453
7133540006546662
oct16672203144251
93548438171346
101021431302313
11364206383594
12145b63339889
1375422361906
143761a86c369
151b882eabbe3
hexedd20cc8a9

1021431302313 has 64 divisors (see below), whose sum is σ = 1478905344000. Its totient is φ = 624953111040.

The previous prime is 1021431302303. The next prime is 1021431302317. The reversal of 1021431302313 is 3132031341201.

It is not a de Polignac number, because 1021431302313 - 26 = 1021431302249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1021431302317) 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 63 ways as a sum of consecutive naturals, for example, 601194738 + ... + 601196436.

It is an arithmetic number, because the mean of its divisors is an integer number (23107896000).

Almost surely, 21021431302313 is an apocalyptic number.

It is an amenable number.

1021431302313 is a deficient number, since it is larger than the sum of its proper divisors (457474041687).

1021431302313 is a wasteful number, since it uses less digits than its factorization.

1021431302313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1021431302313 its reverse (3132031341201), we get a palindrome (4153462643514).

The spelling of 1021431302313 in words is "one trillion, twenty-one billion, four hundred thirty-one million, three hundred two thousand, three hundred thirteen".

Divisors: 1 3 19 41 57 123 173 519 779 1487 1699 2337 3287 4461 5097 7093 9861 21279 28253 32281 60967 69659 84759 96843 134767 182901 208977 257251 293927 404301 771753 881781 1158373 1323521 2526413 3475119 3970563 4887769 5584613 7579239 10547291 12051007 14663307 16753839 31641873 36153021 48001847 103582933 144005541 200398529 228969133 310748799 437069449 601195587 686907399 1311208347 1968075727 5904227181 8304319531 17919847409 24912958593 53759542227 340477100771 1021431302313