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2132301111000 = 233533372109101
BaseRepresentation
bin11111000001110111000…
…011001101111011011000
321112211211201201122110020
4133001313003031323120
5234413423041023000
64311322100550440
7310024260251604
oct37016703157330
97484751648406
102132301111000
1175233842a745
122a53073b2420
131260c90ac938
14752bd7d6504
153a6ecd81ba0
hex1f0770cded8

2132301111000 has 128 divisors (see below), whose sum is σ = 6672523815360. Its totient is φ = 566926080000.

The previous prime is 2132301110987. The next prime is 2132301111001. The reversal of 2132301111000 is 1111032312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132301111001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43551 + ... + 2065550.

Almost surely, 22132301111000 is an apocalyptic number.

2132301111000 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 2132301111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336261907680).

2132301111000 is an abundant number, since it is smaller than the sum of its proper divisors (4540222704360).

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

2132301111000 is a wasteful number, since it uses less digits than its factorization.

2132301111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109462 (or 2109448 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2132301111000 its reverse (1111032312), we get a palindrome (2133412143312).

The spelling of 2132301111000 in words is "two trillion, one hundred thirty-two billion, three hundred one million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 337 375 500 600 674 750 1000 1011 1348 1500 1685 2022 2696 3000 3370 4044 5055 6740 8088 8425 10110 13480 16850 20220 25275 33700 40440 42125 50550 67400 84250 101100 126375 168500 202200 252750 337000 505500 1011000 2109101 4218202 6327303 8436404 10545505 12654606 16872808 21091010 25309212 31636515 42182020 50618424 52727525 63273030 84364040 105455050 126546060 158182575 210910100 253092120 263637625 316365150 421820200 527275250 632730300 710767037 790912875 1054550500 1265460600 1421534074 1581825750 2109101000 2132301111 2843068148 3163651500 3553835185 4264602222 5686136296 6327303000 7107670370 8529204444 10661505555 14215340740 17058408888 17769175925 21323011110 28430681480 35538351850 42646022220 53307527775 71076703700 85292044440 88845879625 106615055550 142153407400 177691759250 213230111100 266537638875 355383518500 426460222200 533075277750 710767037000 1066150555500 2132301111000