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10330245252033 = 3779313154312893
BaseRepresentation
bin1001011001010011001010…
…0110010100001111000001
31100120120011112221021111020
42112110302212110033001
52323222320241031113
633545352114540053
72114223051564210
oct226246246241701
940516145837436
1010330245252033
11332303a154883
1211aa0a2297629
1359c1a40bb765
14279db50bb077
1512daa7a23023
hex965329943c1

10330245252033 has 64 divisors (see below), whose sum is σ = 16003116810240. Its totient is φ = 5805439630848.

The previous prime is 10330245252007. The next prime is 10330245252059. The reversal of 10330245252033 is 33025254203301.

It is an interprime number because it is at equal distance from previous prime (10330245252007) and next prime (10330245252059).

It is not a de Polignac number, because 10330245252033 - 212 = 10330245247937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10330245251985 and 10330245252003.

It is not an unprimeable number, because it can be changed into a prime (10330245253033) 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, 801222535 + ... + 801235427.

It is an arithmetic number, because the mean of its divisors is an integer number (250048700160).

Almost surely, 210330245252033 is an apocalyptic number.

It is an amenable number.

10330245252033 is a deficient number, since it is larger than the sum of its proper divisors (5672871558207).

10330245252033 is a wasteful number, since it uses less digits than its factorization.

10330245252033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14838.

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 10330245252033 its reverse (33025254203301), we get a palindrome (43355499455334).

The spelling of 10330245252033 in words is "ten trillion, three hundred thirty billion, two hundred forty-five million, two hundred fifty-two thousand, thirty-three".

Divisors: 1 3 7 21 79 237 313 553 939 1543 1659 2191 4629 6573 10801 12893 24727 32403 38679 74181 90251 121897 173089 270753 365691 482959 519267 853279 1018547 1448877 2559837 3055641 3380713 4035509 7129829 10142139 12106527 19893899 21389487 28248563 38153761 59681697 84745689 114461283 139257293 267076327 318805211 417771879 801228981 956415633 1571618021 2231636477 4714854063 6226790387 6694909431 11001326147 18680371161 33003978441 43587532709 130762598127 491916440573 1475749321719 3443415084011 10330245252033