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2312313313000 = 235367281122819
BaseRepresentation
bin100001101001100000100…
…111010001011011101000
322012001111002102222200211
4201221200213101123220
5300341104202004000
64530132335110504
7326026164602215
oct41514047213350
98161432388624
102312313313000
11811712646419
12314185072434
1313a0864070b2
147dcb908ab0c
154023669a7ba
hex21a609d16e8

2312313313000 has 128 divisors (see below), whose sum is σ = 5511159388800. Its totient is φ = 907870656000.

The previous prime is 2312313312997. The next prime is 2312313313021. The reversal of 2312313313000 is 3133132132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18765591 + ... + 18888409.

It is an arithmetic number, because the mean of its divisors is an integer number (43055932725).

Almost surely, 22312313313000 is an apocalyptic number.

2312313313000 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 2312313313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755579694400).

2312313313000 is an abundant number, since it is smaller than the sum of its proper divisors (3198846075800).

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

2312313313000 is a wasteful number, since it uses less digits than its factorization.

2312313313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123188 (or 123174 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2312313313000 its reverse (3133132132), we get a palindrome (2315446445132).

The spelling of 2312313313000 in words is "two trillion, three hundred twelve billion, three hundred thirteen million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 281 335 500 536 562 670 1000 1124 1340 1405 1675 2248 2680 2810 3350 5620 6700 7025 8375 11240 13400 14050 16750 18827 28100 33500 35125 37654 56200 67000 70250 75308 94135 122819 140500 150616 188270 245638 281000 376540 470675 491276 614095 753080 941350 982552 1228190 1882700 2353375 2456380 3070475 3765400 4706750 4912760 6140950 8228873 9413500 12281900 15352375 16457746 18827000 24563800 30704750 32915492 34512139 41144365 61409500 65830984 69024278 82288730 122819000 138048556 164577460 172560695 205721825 276097112 329154920 345121390 411443650 690242780 822887300 862803475 1028609125 1380485560 1645774600 1725606950 2057218250 2312313313 3451213900 4114436500 4314017375 4624626626 6902427800 8228873000 8628034750 9249253252 11561566565 17256069500 18498506504 23123133130 34512139000 46246266260 57807832825 92492532520 115615665650 231231331300 289039164125 462462662600 578078328250 1156156656500 2312313313000