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2233300120101 = 342911319742709
BaseRepresentation
bin100000011111111011000…
…011110111001000100101
321220111112112011220120000
4200133323003313020211
5243042244312320401
64425544112131513
7320231154543231
oct40377303671045
97814475156500
102233300120101
117911567720a6
123009b3836b99
131327a387050b
147a1413c75c1
153d15eb54186
hex207fb0f7225

2233300120101 has 80 divisors (see below), whose sum is σ = 3499501935600. Its totient is φ = 1417539336192.

The previous prime is 2233300120087. The next prime is 2233300120111. The reversal of 2233300120101 is 1010210033322.

2233300120101 is a `hidden beast` number, since 2 + 233 + 300 + 120 + 10 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39154119876 + 2194146000225 = 197874^2 + 1481265^2 .

It is not a de Polignac number, because 2233300120101 - 223 = 2233291731493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233300120111) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52269735 + ... + 52312443.

It is an arithmetic number, because the mean of its divisors is an integer number (43743774195).

Almost surely, 22233300120101 is an apocalyptic number.

It is an amenable number.

2233300120101 is a deficient number, since it is larger than the sum of its proper divisors (1266201815499).

2233300120101 is a wasteful number, since it uses less digits than its factorization.

2233300120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43060 (or 43051 counting only the distinct ones).

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

Adding to 2233300120101 its reverse (1010210033322), we get a palindrome (3243510153423).

The spelling of 2233300120101 in words is "two trillion, two hundred thirty-three billion, three hundred million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 9 27 29 81 87 113 197 261 339 591 783 1017 1773 2349 3051 3277 5319 5713 9153 9831 15957 17139 22261 29493 42709 51417 66783 88479 128127 154251 200349 265437 384381 462753 601047 645569 1153143 1238561 1803141 1936707 3459429 3715683 4826117 5810121 8413673 11147049 14478351 17430363 25241019 33441147 43435053 52291089 75723057 100323441 130305159 139957393 227169171 243996517 390915477 419872179 681507513 731989551 950745049 1259616537 2195968653 2852235147 3778849611 6587905959 8556705441 11336548833 19763717877 25670116323 27571606421 77010348969 82714819263 248144457789 744433373367 2233300120101