Search a number
-
+
330312133030110 = 235721120427466483
BaseRepresentation
bin100101100011010101100100…
…1010110101011000011011110
31121022112112100111000011102220
41023012223021112223003132
5321243313222023430420
63130303144333330210
7126401156403146400
oct11306531126530336
91538475314004386
10330312133030110
119627a65296a990
1231068855036966
13112403ba24420a
145b7d29a490b70
15282c29b093840
hex12c6ac95ab0de

330312133030110 has 96 divisors (see below), whose sum is σ = 1006011869404032. Its totient is φ = 68636287379520.

The previous prime is 330312133030007. The next prime is 330312133030123. The reversal of 330312133030110 is 11030331213033.

It is a super-2 number, since 2×3303121330301102 (a number of 30 digits) contains 22 as substring.

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, 10213717072 + ... + 10213749411.

It is an arithmetic number, because the mean of its divisors is an integer number (10479290306292).

Almost surely, 2330312133030110 is an apocalyptic number.

330312133030110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330312133030110 is an abundant number, since it is smaller than the sum of its proper divisors (675699736373922).

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

330312133030110 is a wasteful number, since it uses less digits than its factorization.

330312133030110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20427466518 (or 20427466511 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 330312133030110 its reverse (11030331213033), we get a palindrome (341342464243143).

The spelling of 330312133030110 in words is "three hundred thirty trillion, three hundred twelve billion, one hundred thirty-three million, thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2310 2695 3234 5390 8085 16170 20427466483 40854932966 61282399449 102137332415 122564798898 142992265381 204274664830 224702131313 285984530762 306411997245 428976796143 449404262626 612823994490 674106393939 714961326905 857953592286 1000945857667 1123510656565 1348212787878 1429922653810 1572914919191 2001891715334 2144883980715 2247021313130 3002837573001 3145829838382 3370531969695 4289767961430 4718744757573 5004729288335 6005675146002 6741063939390 7864574595955 9437489515146 10009458576670 11010404434337 15014187865005 15729149191910 22020808868674 23593723787865 30028375730010 33031213303011 47187447575730 55052022171685 66062426606022 110104044343370 165156066515055 330312133030110