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10444210332322 = 2132172213750033
BaseRepresentation
bin1001011111111011101101…
…1100100110001010100010
31100222110022222100012110211
42113332323130212022202
52332104220321113242
634114000510044334
72125366161022414
oct227767334461242
940873288305424
1010444210332322
1133674014a8448
1212081a8aa96aa
135a9b66c01a00
14281706b249b4
15131a27c94317
hex97fbb7262a2

10444210332322 has 72 divisors (see below), whose sum is σ = 18029498427756. Its totient is φ = 4534637912064.

The previous prime is 10444210332307. The next prime is 10444210332337. The reversal of 10444210332322 is 22323301244401.

It is an interprime number because it is at equal distance from previous prime (10444210332307) and next prime (10444210332337).

It can be written as a sum of positive squares in 18 ways, for example, as 4144567144041 + 6299643188281 = 2035821^2 + 2509909^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208721418 + ... + 208771450.

Almost surely, 210444210332322 is an apocalyptic number.

10444210332322 is a deficient number, since it is larger than the sum of its proper divisors (7585288095434).

10444210332322 is a wasteful number, since it uses less digits than its factorization.

10444210332322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52232 (or 52202 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 10444210332322 its reverse (22323301244401), we get a palindrome (32767511576723).

The spelling of 10444210332322 in words is "ten trillion, four hundred forty-four billion, two hundred ten million, three hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 13 17 26 34 169 221 289 338 442 578 2137 2873 3757 4274 5746 7514 27781 36329 48841 50033 55562 72658 97682 100066 361153 472277 617593 650429 722306 850561 944554 1235186 1300858 1701122 6139601 8028709 8455577 11057293 12279202 14459537 16057418 16911154 22114586 28919074 104373217 106920521 143744809 187973981 208746434 213841042 287489618 375947962 1389966773 1817648857 2443661753 2779933546 3635297714 4887323506 18069568049 23629435141 30900030569 36139136098 47258870282 61800061138 307182656833 401700397397 614365313666 803400794794 5222105166161 10444210332322