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13322340114210 = 23353137211310289
BaseRepresentation
bin1100000111011101100101…
…0110011001111100100010
31202011121021210021221111000
43001313121112121330202
53221233123032123320
644200110515532430
72543336002354251
oct301673126317442
952147253257430
1013322340114210
114276a777554a6
1215b1b608ba116
137583a2c405ca
14340b3a160798
15181828258c90
hexc1dd9599f22

13322340114210 has 384 divisors, whose sum is σ = 38027414476800. Its totient is φ = 3315178782720.

The previous prime is 13322340114113. The next prime is 13322340114211. The reversal of 13322340114210 is 1241104322331.

13322340114210 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 234 + 0 + 1 + 1 + 421 + 0 = 666.

It is a super-2 number, since 2×133223401142102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13322340114211) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1294808746 + ... + 1294819034.

It is an arithmetic number, because the mean of its divisors is an integer number (99029725200).

Almost surely, 213322340114210 is an apocalyptic number.

13322340114210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13322340114210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19013707238400).

13322340114210 is an abundant number, since it is smaller than the sum of its proper divisors (24705074362590).

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

13322340114210 is a wasteful number, since it uses less digits than its factorization.

13322340114210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10523 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13322340114210 its reverse (1241104322331), we get a palindrome (14563444436541).

The spelling of 13322340114210 in words is "thirteen trillion, three hundred twenty-two billion, three hundred forty million, one hundred fourteen thousand, two hundred ten".