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1312200102330 = 233513881424343
BaseRepresentation
bin10011000110000101001…
…110001001000110111010
311122110000110222212101000
4103012011032021012322
5132444341211233310
62442452202105430
7163542353560005
oct23060516110672
94573013885330
101312200102330
11466556826697
121923911ab276
13969808509c0
14477219b453c
15242000204c0
hex131853891ba

1312200102330 has 128 divisors (see below), whose sum is σ = 3772655792640. Its totient is φ = 322635709440.

The previous prime is 1312200102319. The next prime is 1312200102371. The reversal of 1312200102330 is 332010022131.

1312200102330 is a `hidden beast` number, since 1 + 31 + 2 + 200 + 102 + 330 = 666.

It is a super-3 number, since 3×13122001023303 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2880139 + ... + 3304481.

It is an arithmetic number, because the mean of its divisors is an integer number (29473873380).

Almost surely, 21312200102330 is an apocalyptic number.

1312200102330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312200102330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886327896320).

1312200102330 is an abundant number, since it is smaller than the sum of its proper divisors (2460455690310).

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

1312200102330 is a wasteful number, since it uses less digits than its factorization.

1312200102330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425253 (or 425247 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1312200102330 its reverse (332010022131), we get a palindrome (1644210124461).

The spelling of 1312200102330 in words is "one trillion, three hundred twelve billion, two hundred million, one hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 881 1170 1755 1762 2643 3510 4405 5286 7929 8810 11453 13215 15858 22906 23787 26430 34359 39645 47574 57265 68718 79290 103077 114530 118935 171795 206154 237870 309231 343590 424343 515385 618462 848686 1030770 1273029 1546155 2121715 2546058 3092310 3819087 4243430 5516459 6365145 7638174 11032918 11457261 12730290 16549377 19095435 22914522 27582295 33098754 38190870 49648131 55164590 57286305 82746885 99296262 114572610 148944393 165493770 248240655 297888786 373846183 496481310 744721965 747692366 1121538549 1489443930 1869230915 2243077098 3364615647 3738461830 4860000379 5607692745 6729231294 9720000758 10093846941 11215385490 14580001137 16823078235 20187693882 24300001895 29160002274 33646156470 43740003411 48600003790 50469234705 72900005685 87480006822 100938469410 131220010233 145800011370 218700017055 262440020466 437400034110 656100051165 1312200102330