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10123320313230 = 23517103131924721
BaseRepresentation
bin1001001101010000010011…
…1010010100010110001110
31022211210001121011020210220
42103110010322110112032
52311330030000010410
633310331131212210
72063246212614225
oct223240472242616
938753047136726
1010123320313230
113253304447663
121175b735a7066
135858181b7a77
1426dd8541bcbc
151284e6660070
hex93504e9458e

10123320313230 has 64 divisors (see below), whose sum is σ = 25727651189568. Its totient is φ = 2540507217920.

The previous prime is 10123320313201. The next prime is 10123320313237. The reversal of 10123320313230 is 3231302332101.

It is a super-2 number, since 2×101233203132302 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10123320313230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123320313237) 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 31 ways as a sum of consecutive naturals, for example, 4297270 + ... + 6221990.

It is an arithmetic number, because the mean of its divisors is an integer number (401994549837).

Almost surely, 210123320313230 is an apocalyptic number.

10123320313230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10123320313230 is an abundant number, since it is smaller than the sum of its proper divisors (15604330876338).

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

10123320313230 is a wasteful number, since it uses less digits than its factorization.

10123320313230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935061.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10123320313230 its reverse (3231302332101), we get a palindrome (13354622645331).

The spelling of 10123320313230 in words is "ten trillion, one hundred twenty-three billion, three hundred twenty million, three hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 10313 20626 30939 51565 61878 103130 154695 175321 309390 350642 525963 876605 1051926 1753210 1924721 2629815 3849442 5259630 5774163 9623605 11548326 19247210 28870815 32720257 57741630 65440514 98160771 163601285 196321542 327202570 490803855 981607710 19849647673 39699295346 59548943019 99248238365 119097886038 198496476730 297744715095 337444010441 595489430190 674888020882 1012332031323 1687220052205 2024664062646 3374440104410 5061660156615 10123320313230