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20321414312232 = 23311553113917023
BaseRepresentation
bin1001001111011011100101…
…01011100111000100101000
32122221201010022012022022010
410213231302223213010220
510130421224030442412
6111115310122155520
74165113406423365
oct447556253470450
978851108168263
1020321414312232
116525299668040
122342514652ba0
13b453bb80a2c7
145037c144146c
1525391753133c
hex127b72ae7128

20321414312232 has 64 divisors (see below), whose sum is σ = 55432063272960. Its totient is φ = 6156890532800.

The previous prime is 20321414312137. The next prime is 20321414312249. The reversal of 20321414312232 is 23221341412302.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20321414312232.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5498328 + ... + 8418695.

It is an arithmetic number, because the mean of its divisors is an integer number (866125988640).

Almost surely, 220321414312232 is an apocalyptic number.

20321414312232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20321414312232 is an abundant number, since it is smaller than the sum of its proper divisors (35110648960728).

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

20321414312232 is a wasteful number, since it uses less digits than its factorization.

20321414312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13922574 (or 13922570 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 20321414312232 its reverse (23221341412302), we get a palindrome (43542755724534).

The spelling of 20321414312232 in words is "twenty trillion, three hundred twenty-one billion, four hundred fourteen million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 5531 11062 16593 22124 33186 44248 60841 66372 121682 132744 182523 243364 365046 486728 730092 1460184 13917023 27834046 41751069 55668092 83502138 111336184 153087253 167004276 306174506 334008552 459261759 612349012 918523518 1224698024 1837047036 3674094072 76975054213 153950108426 230925162639 307900216852 461850325278 615800433704 846725596343 923700650556 1693451192686 1847401301112 2540176789029 3386902385372 5080353578058 6773804770744 10160707156116 20321414312232