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323300102312 = 2311410127329
BaseRepresentation
bin1001011010001100011…
…00000001000010101000
31010220111100011212022102
410231012030001002220
520244104311233222
6404304431112532
732233451345645
oct4550614010250
91126440155272
10323300102312
11115124530000
12527a8672748
13246441232b5
141190d82cdcc
158622eecd92
hex4b463010a8

323300102312 has 80 divisors (see below), whose sum is σ = 673428964500. Its totient is φ = 145494272000.

The previous prime is 323300102249. The next prime is 323300102357. The reversal of 323300102312 is 213201003323.

It can be written as a sum of positive squares in 2 ways, for example, as 298327885636 + 24972216676 = 546194^2 + 158026^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11816264 + ... + 11843592.

Almost surely, 2323300102312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323300102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336714482250).

323300102312 is an abundant number, since it is smaller than the sum of its proper divisors (350128862188).

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

323300102312 is a wasteful number, since it uses less digits than its factorization.

323300102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27480 (or 27443 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 323300102312 its reverse (213201003323), we get a palindrome (536501105635).

The spelling of 323300102312 in words is "three hundred twenty-three billion, three hundred million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 1331 2222 2662 4444 5324 8888 10648 12221 14641 24442 27329 29282 48884 54658 58564 97768 109316 117128 134431 218632 268862 300619 537724 601238 1075448 1202476 1478741 2404952 2760229 2957482 3306809 5520458 5914964 6613618 11040916 11829928 13227236 22081832 26454472 30362519 36374899 60725038 72749798 121450076 145499596 242900152 290999192 333987709 400123889 667975418 800247778 1335950836 1600495556 2671901672 3200991112 3673864799 7347729598 14695459196 29390918392 40412512789 80825025578 161650051156 323300102312