Search a number
-
+
330111000302220 = 2232516710981736537
BaseRepresentation
bin100101100001110111111010…
…0111010001101001010001100
31121021211022012012021221101200
41023003233310322031022030
5321232014312034132340
63130030522221105500
7126350506216156614
oct11303576472151214
91537738165257350
10330111000302220
119620231a770535
12310358820b8290
1311227445355867
145b73659b91a44
152826e28471330
hex12c3bf4e8d28c

330111000302220 has 72 divisors (see below), whose sum is σ = 1007332729157664. Its totient is φ = 87502476718848.

The previous prime is 330111000302189. The next prime is 330111000302221. The reversal of 330111000302220 is 22203000111033.

330111000302220 is a `hidden beast` number, since 3 + 30 + 1 + 110 + 0 + 0 + 302 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330111000302193 and 330111000302202.

It is not an unprimeable number, because it can be changed into a prime (330111000302221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5490838209 + ... + 5490898328.

It is an arithmetic number, because the mean of its divisors is an integer number (13990732349412).

Almost surely, 2330111000302220 is an apocalyptic number.

330111000302220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330111000302220 is an abundant number, since it is smaller than the sum of its proper divisors (677221728855444).

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

330111000302220 is a wasteful number, since it uses less digits than its factorization.

330111000302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10981736719 (or 10981736714 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330111000302220 its reverse (22203000111033), we get a palindrome (352314000413253).

The spelling of 330111000302220 in words is "three hundred thirty trillion, one hundred eleven billion, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5010 6012 7515 10020 15030 30060 10981736537 21963473074 32945209611 43926946148 54908682685 65890419222 98835628833 109817365370 131780838444 164726048055 197671257666 219634730740 329452096110 395342515332 494178144165 658904192220 988356288330 1833950001679 1976712576660 3667900003358 5501850005037 7335800006716 9169750008395 11003700010074 16505550015111 18339500016790 22007400020148 27509250025185 33011100030222 36679000033580 55018500050370 66022200060444 82527750075555 110037000100740 165055500151110 330111000302220