Search a number
-
+
13030401000 = 2335337891319
BaseRepresentation
bin11000010001010110…
…00010001111101000
31020122002222221210110
430020223002033220
5203141240313000
65552554414320
7640622403201
oct141053021750
936562887713
1013030401000
11558735a151
122637a313a0
1312c8787366
148b88005a8
15513e59850
hex308ac23e8

13030401000 has 256 divisors, whose sum is σ = 42254784000. Its totient is φ = 3340339200.

The previous prime is 13030400987. The next prime is 13030401011. The reversal of 13030401000 is 10403031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9878341 + ... + 9879659.

It is an arithmetic number, because the mean of its divisors is an integer number (165057750).

Almost surely, 213030401000 is an apocalyptic number.

13030401000 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 13030401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21127392000).

13030401000 is an abundant number, since it is smaller than the sum of its proper divisors (29224383000).

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

13030401000 is a wasteful number, since it uses less digits than its factorization.

13030401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13030401000 its reverse (10403031), we get a palindrome (13040804031).

The spelling of 13030401000 in words is "thirteen billion, thirty million, four hundred one thousand".