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13310022010032 = 243211291283225839
BaseRepresentation
bin1100000110101111101100…
…1000100100010010110000
31202010102111022121102020100
43001223323020210102300
53221032411113310112
644150312324112400
72542421516246136
oct301537310442260
952112438542210
1013310022010032
114271826484510
1215ab6a3535700
1375718bc0c777
143402cc1b9756
15181356b002dc
hexc1afb2244b0

13310022010032 has 240 divisors, whose sum is σ = 42070089484800. Its totient is φ = 3891206807040.

The previous prime is 13310022010027. The next prime is 13310022010037. The reversal of 13310022010032 is 23001022001331.

13310022010032 is a `hidden beast` number, since 1 + 3 + 310 + 0 + 220 + 100 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (13310022010027) and next prime (13310022010037).

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 = 13310022009987 and 13310022010014.

It is not an unprimeable number, because it can be changed into a prime (13310022010037) 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 47 ways as a sum of consecutive naturals, for example, 58822969 + ... + 59048807.

It is an arithmetic number, because the mean of its divisors is an integer number (175292039520).

Almost surely, 213310022010032 is an apocalyptic number.

13310022010032 is a gapful number since it is divisible by the number (12) 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 13310022010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21035044742400).

13310022010032 is an abundant number, since it is smaller than the sum of its proper divisors (28760067474768).

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

13310022010032 is a wasteful number, since it uses less digits than its factorization.

13310022010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227176 (or 227167 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13310022010032 its reverse (23001022001331), we get a palindrome (36311044011363).

The spelling of 13310022010032 in words is "thirteen trillion, three hundred ten billion, twenty-two million, ten thousand, thirty-two".