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2312321000 = 235311316781
BaseRepresentation
bin1000100111010011…
…0011011111101000
312222011001002002112
42021310303133220
514213423233000
61021241021452
7111205255433
oct21164633750
95864032075
102312321000
11a87276aa0
12546484888
132ab09a2a2
1417d15881a
15d8007235
hex89d337e8

2312321000 has 128 divisors (see below), whose sum is σ = 6094033920. Its totient is φ = 813600000.

The previous prime is 2312320931. The next prime is 2312321027. The reversal of 2312321000 is 1232132.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337610 + ... + 344390.

It is an arithmetic number, because the mean of its divisors is an integer number (47609640).

Almost surely, 22312321000 is an apocalyptic number.

2312321000 is a gapful number since it is divisible by the number (20) 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 2312321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047016960).

2312321000 is an abundant number, since it is smaller than the sum of its proper divisors (3781712920).

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

2312321000 is a wasteful number, since it uses less digits than its factorization.

2312321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6844 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2312321000 is about 48086.5989647844. The cubic root of 2312321000 is about 1322.3589971680.

Adding to 2312321000 its reverse (1232132), we get a palindrome (2313553132).

It can be divided in two parts, 231232 and 1000, that added together give a palindrome (232232).

The spelling of 2312321000 in words is "two billion, three hundred twelve million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 125 155 200 220 248 250 275 310 341 440 500 550 620 682 775 1000 1100 1240 1364 1375 1550 1705 2200 2728 2750 3100 3410 3875 5500 6200 6781 6820 7750 8525 11000 13562 13640 15500 17050 27124 31000 33905 34100 42625 54248 67810 68200 74591 85250 135620 149182 169525 170500 210211 271240 298364 339050 341000 372955 420422 596728 678100 745910 840844 847625 1051055 1356200 1491820 1681688 1695250 1864775 2102110 2312321 2983640 3390500 3729550 4204220 4624642 5255275 6781000 7459100 8408440 9249284 9323875 10510550 11561605 14918200 18498568 18647750 21021100 23123210 26276375 37295500 42042200 46246420 52552750 57808025 74591000 92492840 105105500 115616050 210211000 231232100 289040125 462464200 578080250 1156160500 2312321000