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13332022020 = 2232574066789
BaseRepresentation
bin11000110101010011…
…01000001100000100
31021102010112220001100
430122221220030010
5204300444201040
610042531300100
7651244213602
oct143251501404
937363486040
1013332022020
115721640519
122700a4a630
131346101c35
149068b6872
15530688b30
hex31aa68304

13332022020 has 36 divisors (see below), whose sum is σ = 40440467340. Its totient is φ = 3555205824.

The previous prime is 13332022007. The next prime is 13332022043. The reversal of 13332022020 is 2022023331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4432363776 + 8899658244 = 66576^2 + 94338^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×133320220202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13332021984 and 13332022002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37033215 + ... + 37033574.

It is an arithmetic number, because the mean of its divisors is an integer number (1123346315).

Almost surely, 213332022020 is an apocalyptic number.

13332022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13332022020 is an abundant number, since it is smaller than the sum of its proper divisors (27108445320).

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

13332022020 is a wasteful number, since it uses less digits than its factorization.

13332022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74066804 (or 74066799 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13332022020 its reverse (2022023331), we get a palindrome (15354045351).

The spelling of 13332022020 in words is "thirteen billion, three hundred thirty-two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 74066789 148133578 222200367 296267156 370333945 444400734 666601101 740667890 888801468 1111001835 1333202202 1481335780 2222003670 2666404404 3333005505 4444007340 6666011010 13332022020