Search a number
-
+
13311030000 = 24354443701
BaseRepresentation
bin11000110010110011…
…00011001011110000
31021100200001101102010
430121121203023300
5204230110430000
610040501322520
7650600613432
oct143131431360
937320041363
1013311030000
115710802944
1226b5a06440
131341962118
14903bb0652
1552d8ddd50
hex3196632f0

13311030000 has 100 divisors (see below), whose sum is σ = 42969876488. Its totient is φ = 3549600000.

The previous prime is 13311029989. The next prime is 13311030001. The reversal of 13311030000 is 3011331.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311030001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191851 + ... + 251850.

Almost surely, 213311030000 is an apocalyptic number.

13311030000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311030000 is an abundant number, since it is smaller than the sum of its proper divisors (29658846488).

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

13311030000 is an equidigital number, since it uses as much as digits as its factorization.

13311030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443732 (or 443711 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13311030000 its reverse (3011331), we get a palindrome (13314041331).

The spelling of 13311030000 in words is "thirteen billion, three hundred eleven million, thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 443701 887402 1331103 1774804 2218505 2662206 3549608 4437010 5324412 6655515 7099216 8874020 10648824 11092525 13311030 17748040 21297648 22185050 26622060 33277575 35496080 44370100 53244120 55462625 66555150 88740200 106488240 110925250 133110300 166387875 177480400 221850500 266220600 277313125 332775750 443701000 532441200 554626250 665551500 831939375 887402000 1109252500 1331103000 1663878750 2218505000 2662206000 3327757500 4437010000 6655515000 13311030000