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2311130542000 = 245371371204969
BaseRepresentation
bin100001101000011010000…
…111010110111110110000
322011221102122211222220111
4201220122013112332300
5300331143404321000
64525415124151104
7325654653322240
oct41503207267660
98157378758814
102311130542000
11811165a38025
12313ab4b38494
13139c283659b7
147dc05d63b20
15401b7914cba
hex21a1a1d6fb0

2311130542000 has 160 divisors (see below), whose sum is σ = 6433267351680. Its totient is φ = 786603110400.

The previous prime is 2311130541997. The next prime is 2311130542003. The reversal of 2311130542000 is 2450311132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2311130541997) and next prime (2311130542003).

It is not an unprimeable number, because it can be changed into a prime (2311130542003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315516 + ... + 2520484.

It is an arithmetic number, because the mean of its divisors is an integer number (40207920948).

Almost surely, 22311130542000 is an apocalyptic number.

2311130542000 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 2311130542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216633675840).

2311130542000 is an abundant number, since it is smaller than the sum of its proper divisors (4122136809680).

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

2311130542000 is a wasteful number, since it uses less digits than its factorization.

2311130542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205136 (or 1205120 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 2311130542000 its reverse (2450311132), we get a palindrome (2313580853132).

The spelling of 2311130542000 in words is "two trillion, three hundred eleven billion, one hundred thirty million, five hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 137 140 175 200 250 274 280 350 400 500 548 560 685 700 875 959 1000 1096 1370 1400 1750 1918 2000 2192 2740 2800 3425 3500 3836 4795 5480 6850 7000 7672 9590 10960 13700 14000 15344 17125 19180 23975 27400 34250 38360 47950 54800 68500 76720 95900 119875 137000 191800 239750 274000 383600 479500 959000 1204969 1918000 2409938 4819876 6024845 8434783 9639752 12049690 16869566 19279504 24099380 30124225 33739132 42173915 48198760 60248450 67478264 84347830 96397520 120496900 134956528 150621125 165080753 168695660 210869575 240993800 301242250 330161506 337391320 421739150 481987600 602484500 660323012 674782640 825403765 843478300 1054347875 1155565271 1204969000 1320646024 1650807530 1686956600 2108695750 2311130542 2409938000 2641292048 3301615060 3373913200 4127018825 4217391500 4622261084 5777826355 6603230120 8254037650 8434783000 9244522168 11555652710 13206460240 16508075300 16869566000 18489044336 20635094125 23111305420 28889131775 33016150600 41270188250 46222610840 57778263550 66032301200 82540376500 92445221680 115556527100 144445658875 165080753000 231113054200 288891317750 330161506000 462226108400 577782635500 1155565271000 2311130542000