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10042223131330 = 2513165746619113
BaseRepresentation
bin1001001000100010001100…
…1001000111101011000010
31022120000201210111120012021
42102020203021013223002
52304012433110200310
633205200021152054
72054345436134455
oct222104311075302
938500653446167
1010042223131330
113221979180585
12116230025b62a
1357ac9297abc0
1426a090a7949c
1512634bbb55da
hex92223247ac2

10042223131330 has 32 divisors (see below), whose sum is σ = 19478211735024. Its totient is φ = 3705659974656.

The previous prime is 10042223131277. The next prime is 10042223131349. The reversal of 10042223131330 is 3313132224001.

It can be written as a sum of positive squares in 8 ways, for example, as 4404822920289 + 5637400211041 = 2098767^2 + 2374321^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10042223131295 and 10042223131304.

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 15 ways as a sum of consecutive naturals, for example, 23094147 + ... + 23524966.

Almost surely, 210042223131330 is an apocalyptic number.

10042223131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10042223131330 is a deficient number, since it is larger than the sum of its proper divisors (9435988603694).

10042223131330 is a wasteful number, since it uses less digits than its factorization.

10042223131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46620790.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10042223131330 its reverse (3313132224001), we get a palindrome (13355355355331).

The spelling of 10042223131330 in words is "ten trillion, forty-two billion, two hundred twenty-three million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 1657 3314 8285 16570 21541 43082 107705 215410 46619113 93238226 233095565 466191130 606048469 1212096938 3030242345 6060484690 77247870241 154495740482 386239351205 772478702410 1004222313133 2008444626266 5021111565665 10042223131330