Search a number
-
+
1343056101120 = 2835525117203
BaseRepresentation
bin10011100010110100011…
…000011011111100000000
311202101122220000000100000
4103202310120123330000
5134001034330213440
62504554053200000
7166014116333106
oct23426430337400
94671586000300
101343056101120
11478650179238
12198362930000
139985a374656
144900b9a3c76
1524e08d83730
hex138b461bf00

1343056101120 has 432 divisors, whose sum is σ = 4838419377792. Its totient is φ = 356700672000.

The previous prime is 1343056101119. The next prime is 1343056101133. The reversal of 1343056101120 is 211016503431.

It is a happy number.

1343056101120 is a `hidden beast` number, since 1 + 3 + 4 + 30 + 5 + 610 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78062439 + ... + 78079641.

It is an arithmetic number, because the mean of its divisors is an integer number (11200044856).

Almost surely, 21343056101120 is an apocalyptic number.

1343056101120 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 1343056101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419209688896).

1343056101120 is an abundant number, since it is smaller than the sum of its proper divisors (3495363276672).

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

1343056101120 is an equidigital number, since it uses as much as digits as its factorization.

1343056101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17490 (or 17464 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 1343056101120 in words is "one trillion, three hundred forty-three billion, fifty-six million, one hundred one thousand, one hundred twenty".