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13401241000020 = 2233583509587429
BaseRepresentation
bin1100001100000011100000…
…1101011001100001010100
31202110010221112020020021000
43003000320031121201110
53224031220144000040
644300240051423300
72552131150002306
oct303007015314124
952403845206230
1013401241000020
1142a74861a1845
1216053005b4b30
137629684449a3
143448a2d4b976
151838e4eb9130
hexc3038359854

13401241000020 has 192 divisors, whose sum is σ = 42278042016000. Its totient is φ = 3523665710592.

The previous prime is 13401240999953. The next prime is 13401241000031. The reversal of 13401241000020 is 2000014210431.

13401241000020 is a `hidden beast` number, since 1 + 3 + 401 + 241 + 0 + 0 + 0 + 0 + 20 = 666.

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 = 13401240999957 and 13401241000002.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22519666 + ... + 23107094.

It is an arithmetic number, because the mean of its divisors is an integer number (220198135500).

Almost surely, 213401241000020 is an apocalyptic number.

13401241000020 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 13401241000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21139021008000).

13401241000020 is an abundant number, since it is smaller than the sum of its proper divisors (28876801015980).

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

13401241000020 is a wasteful number, since it uses less digits than its factorization.

13401241000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588039 (or 588031 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13401241000020 its reverse (2000014210431), we get a palindrome (15401255210451).

The spelling of 13401241000020 in words is "thirteen trillion, four hundred one billion, two hundred forty-one million, twenty", and thus it is an aban number.