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13332101114020 = 2251351277311977
BaseRepresentation
bin1100001000000001111100…
…1001101010100010100100
31202012112111001100002222111
43002000133021222202210
53221413120341122040
644204403244010404
72544132615446533
oct302003711524244
952175431302874
1013332101114020
11428012656a097
1215b3a25830a04
1375929a26a040
143413c466c31a
15181bea156dea
hexc201f26a8a4

13332101114020 has 24 divisors (see below), whose sum is σ = 30151059443064. Its totient is φ = 4922621949696.

The previous prime is 13332101114011. The next prime is 13332101114021. The reversal of 13332101114020 is 2041110123331.

It can be written as a sum of positive squares in 4 ways, for example, as 2059644041316 + 11272457072704 = 1435146^2 + 3357448^2 .

It is a super-2 number, since 2×133321011140202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13332101113982 and 13332101114000.

It is not an unprimeable number, because it can be changed into a prime (13332101114021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25638655729 + ... + 25638656248.

It is an arithmetic number, because the mean of its divisors is an integer number (1256294143461).

Almost surely, 213332101114020 is an apocalyptic number.

13332101114020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13332101114020 is an abundant number, since it is smaller than the sum of its proper divisors (16818958329044).

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

13332101114020 is a wasteful number, since it uses less digits than its factorization.

13332101114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51277311999 (or 51277311997 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13332101114020 its reverse (2041110123331), we get a palindrome (15373211237351).

The spelling of 13332101114020 in words is "thirteen trillion, three hundred thirty-two billion, one hundred one million, one hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 51277311977 102554623954 205109247908 256386559885 512773119770 666605055701 1025546239540 1333210111402 2666420222804 3333025278505 6666050557010 13332101114020