Search a number
-
+
3300111413120 = 27529177807727
BaseRepresentation
bin110000000001011101111…
…101111110111110000000
3102200111011102211200021002
4300001131331332332000
5413032112010204440
611004014504351132
7460265560115144
oct60013575767600
912614142750232
103300111413120
11106262994a335
124537007754a8
131ac27876a122
14b5a24b5b224
155ac9baae115
hex3005df7ef80

3300111413120 has 64 divisors (see below), whose sum is σ = 8161374715200. Its totient is φ = 1274525779968.

The previous prime is 3300111413119. The next prime is 3300111413153. The reversal of 3300111413120 is 213141110033.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3300111413092 and 3300111413101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88885304 + ... + 88922423.

It is an arithmetic number, because the mean of its divisors is an integer number (127521479925).

Almost surely, 23300111413120 is an apocalyptic number.

It is an amenable number.

3300111413120 is an abundant number, since it is smaller than the sum of its proper divisors (4861263302080).

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

3300111413120 is a wasteful number, since it uses less digits than its factorization.

3300111413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177807775 (or 177807763 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 3300111413120 its reverse (213141110033), we get a palindrome (3513252523153).

The spelling of 3300111413120 in words is "three trillion, three hundred billion, one hundred eleven million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 9280 18560 177807727 355615454 711230908 889038635 1422461816 1778077270 2844923632 3556154540 5156424083 5689847264 7112309080 10312848166 11379694528 14224618160 20625696332 22759389056 25782120415 28449236320 41251392664 51564240830 56898472640 82502785328 103128481660 113796945280 165005570656 206256963320 330011141312 412513926640 660022282624 825027853280 1650055706560 3300111413120