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12303122320 = 245477514357
BaseRepresentation
bin10110111010101001…
…01011111110010000
31011202102111101000001
423131110223332100
5200144044403240
65352454335344
7613611546166
oct133524537620
934672441001
1012303122320
115243878995
12247435a554
131210bb6848
14849da5236
154c019989a
hex2dd52bf90

12303122320 has 80 divisors (see below), whose sum is σ = 29258984448. Its totient is φ = 4809024000.

The previous prime is 12303122317. The next prime is 12303122327. The reversal of 12303122320 is 2322130321.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12303122327) 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 15 ways as a sum of consecutive naturals, for example, 2821582 + ... + 2825938.

Almost surely, 212303122320 is an apocalyptic number.

12303122320 is a gapful number since it is divisible by the number (10) 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 12303122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629492224).

12303122320 is an abundant number, since it is smaller than the sum of its proper divisors (16955862128).

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

12303122320 is a wasteful number, since it uses less digits than its factorization.

12303122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12303122320 its reverse (2322130321), we get a palindrome (14625252641).

The spelling of 12303122320 in words is "twelve billion, three hundred three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 751 752 940 1502 1880 3004 3755 3760 4357 6008 7510 8714 12016 15020 17428 21785 30040 34856 35297 43570 60080 69712 70594 87140 141188 174280 176485 204779 282376 348560 352970 409558 564752 705940 819116 1023895 1411880 1638232 2047790 2823760 3272107 3276464 4095580 6544214 8191160 13088428 16360535 16382320 26176856 32721070 52353712 65442140 130884280 153789029 261768560 307578058 615156116 768945145 1230312232 1537890290 2460624464 3075780580 6151561160 12303122320