Search a number
-
+
1013233441320 = 2332531577157351
BaseRepresentation
bin11101011111010010110…
…10110101101000101000
310120212022222110220020100
432233221122311220220
5113100100230110240
62053250101025400
7133126604101422
oct16575132655050
93525288426210
101013233441320
11360789954261
121444559b5260
1374716b32ca9
143707dbbb812
151b55342ae30
hexebe96b5a28

1013233441320 has 192 divisors, whose sum is σ = 3405147632640. Its totient is φ = 261024768000.

The previous prime is 1013233441219. The next prime is 1013233441393. The reversal of 1013233441320 is 231443323101.

It is a happy number.

1013233441320 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 334 + 4 + 1 + 320 = 666.

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, 6360645 + ... + 6517995.

It is an arithmetic number, because the mean of its divisors is an integer number (17735143920).

Almost surely, 21013233441320 is an apocalyptic number.

1013233441320 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 1013233441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702573816320).

1013233441320 is an abundant number, since it is smaller than the sum of its proper divisors (2391914191320).

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

1013233441320 is a wasteful number, since it uses less digits than its factorization.

1013233441320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157976 (or 157969 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1013233441320 its reverse (231443323101), we get a palindrome (1244676764421).

The spelling of 1013233441320 in words is "one trillion, thirteen billion, two hundred thirty-three million, four hundred forty-one thousand, three hundred twenty".