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12312333100 = 22521136731619
BaseRepresentation
bin10110111011101111…
…10100101100101100
31011210001211022211001
423131313310230230
5200203424124400
65353424010044
7614053050604
oct133567645454
934701738731
1012312333100
115248a9a101
122477460924
131212a90102
1484b2c1c04
154c0db8a6a
hex2dddf4b2c

12312333100 has 72 divisors (see below), whose sum is σ = 27010927440. Its totient is φ = 4871086080.

The previous prime is 12312333073. The next prime is 12312333161. The reversal of 12312333100 is 133321321.

It is a super-2 number, since 2×123123331002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7604091 + ... + 7605709.

It is an arithmetic number, because the mean of its divisors is an integer number (375151770).

Almost surely, 212312333100 is an apocalyptic number.

12312333100 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 12312333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13505463720).

12312333100 is an abundant number, since it is smaller than the sum of its proper divisors (14698594340).

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

12312333100 is a wasteful number, since it uses less digits than its factorization.

12312333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 12312333100 its reverse (133321321), we get a palindrome (12445654421).

The spelling of 12312333100 in words is "twelve billion, three hundred twelve million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 673 1130 1346 1619 2260 2692 2825 3238 3365 5650 6476 6730 8095 11300 13460 16190 16825 32380 33650 40475 67300 76049 80950 152098 161900 182947 304196 365894 380245 731788 760490 914735 1089587 1520980 1829470 1901225 2179174 3658940 3802450 4358348 4573675 5447935 7604900 9147350 10895870 18294700 21791740 27239675 54479350 108958700 123123331 246246662 492493324 615616655 1231233310 2462466620 3078083275 6156166550 12312333100