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13322342010420 = 22335239601171757
BaseRepresentation
bin1100000111011101100101…
…1101101000111000110100
31202011121021220212021121000
43001313121131220320310
53221233124023313140
644200111024323300
72543336024442462
oct301673135507064
952147256767530
1013322342010420
114276a78830113
1215b1b61473530
137583a3455721
14340b3a4d5832
151818284d0a30
hexc1dd9768e34

13322342010420 has 192 divisors, whose sum is σ = 41690201011200. Its totient is φ = 3531852979200.

The previous prime is 13322342010401. The next prime is 13322342010437. The reversal of 13322342010420 is 2401024322331.

13322342010420 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 2 + 34 + 201 + 0 + 420 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 77479182 + ... + 77650938.

It is an arithmetic number, because the mean of its divisors is an integer number (217136463600).

Almost surely, 213322342010420 is an apocalyptic number.

13322342010420 is a gapful number since it is divisible by the number (10) 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 13322342010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20845100505600).

13322342010420 is an abundant number, since it is smaller than the sum of its proper divisors (28367859000780).

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

13322342010420 is a wasteful number, since it uses less digits than its factorization.

13322342010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172615 (or 172607 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13322342010420 its reverse (2401024322331), we get a palindrome (15723366332751).

The spelling of 13322342010420 in words is "thirteen trillion, three hundred twenty-two billion, three hundred forty-two million, ten thousand, four hundred twenty".