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2311322002000 = 245311983106877
BaseRepresentation
bin100001101000100101100…
…001101110001001010000
322011221221000010011122121
4201220211201232021100
5300332041413031000
64525450123544024
7325662466600534
oct41504541561120
98157830104577
102311322002000
11811254017830
12313b4908b014
13139c58c1cb3b
147dc23561bc4
15401c9633b1a
hex21a2586e250

2311322002000 has 160 divisors (see below), whose sum is σ = 6103106590464. Its totient is φ = 839617856000.

The previous prime is 2311322001959. The next prime is 2311322002063. The reversal of 2311322002000 is 2002231132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 21572562 + ... + 21679438.

Almost surely, 22311322002000 is an apocalyptic number.

2311322002000 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 2311322002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051553295232).

2311322002000 is an abundant number, since it is smaller than the sum of its proper divisors (3791784588464).

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

2311322002000 is a wasteful number, since it uses less digits than its factorization.

2311322002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107894 (or 107878 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2311322002000 its reverse (2002231132), we get a palindrome (2313324233132).

It can be divided in two parts, 231 and 1322002000, that added together give a palindrome (1322002231).

The spelling of 2311322002000 in words is "two trillion, three hundred eleven billion, three hundred twenty-two million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 983 1000 1100 1375 1966 2000 2200 2750 3932 4400 4915 5500 7864 9830 10813 11000 15728 19660 21626 22000 24575 39320 43252 49150 54065 78640 86504 98300 106877 108130 122875 173008 196600 213754 216260 245750 270325 393200 427508 432520 491500 534385 540650 855016 865040 983000 1068770 1081300 1175647 1351625 1710032 1966000 2137540 2162600 2351294 2671925 2703250 4275080 4325200 4702588 5343850 5406500 5878235 8550160 9405176 10687700 10813000 11756470 13359625 18810352 21375400 21626000 23512940 26719250 29391175 42750800 47025880 53438500 58782350 94051760 105060091 106877000 117564700 146955875 210120182 213754000 235129400 293911750 420240364 470258800 525300455 587823500 840480728 1050600910 1155661001 1175647000 1680961456 2101201820 2311322002 2351294000 2626502275 4202403640 4622644004 5253004550 5778305005 8404807280 9245288008 10506009100 11556610010 13132511375 18490576016 21012018200 23113220020 26265022750 28891525025 42024036400 46226440040 52530045500 57783050050 92452880080 105060091000 115566100100 144457625125 210120182000 231132200200 288915250250 462264400400 577830500500 1155661001000 2311322002000