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10322322002112 = 263239503944641
BaseRepresentation
bin1001011000110101101001…
…0101100001000011000000
31100112210201100221110220110
42112031122111201003000
52323110103413031422
633542002000111320
72113522522223211
oct226153225410300
940483640843813
1010322322002112
11331a74373894a
1211a8650905540
1359b51073b6b3
14279862ab1408
1512d79213860c
hex9635a5610c0

10322322002112 has 112 divisors (see below), whose sum is σ = 27431473305600. Its totient is φ = 3425620746240.

The previous prime is 10322322002089. The next prime is 10322322002119. The reversal of 10322322002112 is 21120022322301.

It is not an unprimeable number, because it can be changed into a prime (10322322002119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 231207312 + ... + 231251952.

It is an arithmetic number, because the mean of its divisors is an integer number (244923868800).

Almost surely, 210322322002112 is an apocalyptic number.

10322322002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10322322002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13715736652800).

10322322002112 is an abundant number, since it is smaller than the sum of its proper divisors (17109151303488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10322322002112 is a wasteful number, since it uses less digits than its factorization.

10322322002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49934 (or 49924 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10322322002112 its reverse (21120022322301), we get a palindrome (31442344324413).

The spelling of 10322322002112 in words is "ten trillion, three hundred twenty-two billion, three hundred twenty-two million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 239 478 717 956 1434 1912 2868 3824 5039 5736 7648 10078 11472 15117 15296 20156 22944 30234 40312 44641 45888 60468 80624 89282 120936 133923 161248 178564 241872 267846 322496 357128 483744 535692 714256 967488 1071384 1204321 1428512 2142768 2408642 2857024 3612963 4285536 4817284 7225926 8571072 9634568 10669199 14451852 19269136 21338398 28903704 32007597 38538272 42676796 57807408 64015194 77076544 85353592 115614816 128030388 170707184 224945999 231229632 256060776 341414368 449891998 512121552 674837997 682828736 899783996 1024243104 1349675994 1799567992 2048486208 2699351988 3599135984 5398703976 7198271968 10797407952 14396543936 21594815904 43189631808 53762093761 107524187522 161286281283 215048375044 322572562566 430096750088 645145125132 860193500176 1290290250264 1720387000352 2580580500528 3440774000704 5161161001056 10322322002112