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20132314423300 = 2252833727650813
BaseRepresentation
bin1001001001111011010110…
…11100110010000000000100
32122021122000121101122012001
410210331223130302000010
510114321434443021200
6110452354011235044
74145340343042012
oct444755334620004
978248017348161
1020132314423300
1164620807096a2
12231193b448a84
13b306138106c1
144d85a2c6b8b2
1524da4aeb976a
hex124f6b732004

20132314423300 has 72 divisors (see below), whose sum is σ = 44225404142976. Its totient is φ = 7953755679360.

The previous prime is 20132314423279. The next prime is 20132314423303. The reversal of 20132314423300 is 332441323102.

It is a happy number.

It is a super-2 number, since 2×201323144233002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20132314423303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30608694 + ... + 31259506.

It is an arithmetic number, because the mean of its divisors is an integer number (614241724208).

Almost surely, 220132314423300 is an apocalyptic number.

20132314423300 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 20132314423300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22112702071488).

20132314423300 is an abundant number, since it is smaller than the sum of its proper divisors (24093089719676).

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

20132314423300 is a wasteful number, since it uses less digits than its factorization.

20132314423300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654637 (or 654630 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 20132314423300 its reverse (332441323102), we get a palindrome (20464755746402).

The spelling of 20132314423300 in words is "twenty trillion, one hundred thirty-two billion, three hundred fourteen million, four hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 3727 4150 7454 8300 14908 18635 37270 74540 93175 186350 309341 372700 618682 650813 1237364 1301626 1546705 2603252 3093410 3254065 6186820 6508130 7733525 13016260 15467050 16270325 30934100 32540650 54017479 65081300 108034958 216069916 270087395 540174790 1080349580 1350436975 2425580051 2700873950 4851160102 5401747900 9702320204 12127900255 24255800510 48511601020 60639501275 121279002550 201323144233 242558005100 402646288466 805292576932 1006615721165 2013231442330 4026462884660 5033078605825 10066157211650 20132314423300