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2300130032202 = 2322337570126339
BaseRepresentation
bin100001011110001010011…
…011101111101001001010
322010220001000110012100200
4201132022123233221022
5300141131242012302
64520355401113030
7325115236454142
oct41361233575112
98126030405320
102300130032202
11807530491212
12311944a88776
13138b942c02c2
147d480d9d922
153ec71cc481c
hex2178a6efa4a

2300130032202 has 96 divisors (see below), whose sum is σ = 5341982106240. Its totient is φ = 713401603200.

The previous prime is 2300130032191. The next prime is 2300130032237. The reversal of 2300130032202 is 2022300310032.

It is a happy number.

2300130032202 is a `hidden beast` number, since 2 + 300 + 130 + 0 + 32 + 202 = 666.

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

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, 87314749 + ... + 87341087.

It is an arithmetic number, because the mean of its divisors is an integer number (55645646940).

Almost surely, 22300130032202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300130032202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670991053120).

2300130032202 is an abundant number, since it is smaller than the sum of its proper divisors (3041852074038).

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

2300130032202 is a wasteful number, since it uses less digits than its factorization.

2300130032202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32108 (or 32105 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2300130032202 its reverse (2022300310032), we get a palindrome (4322430342234).

The spelling of 2300130032202 in words is "two trillion, three hundred billion, one hundred thirty million, thirty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 666 851 1702 2553 5106 5701 7659 11402 15318 17103 26339 34206 51309 52678 79017 102618 131123 158034 210937 237051 262246 393369 421874 474102 605797 632811 786738 974543 1180107 1211594 1265622 1817391 1898433 1949086 2360214 2923629 3634782 3796866 4851551 5452173 5847258 8770887 9703102 10904346 14554653 17541774 22414489 29109306 43663959 44828978 67243467 87327918 134486934 150158639 201730401 300317278 403460802 450475917 900951834 1351427751 2702855502 3453648697 5555869643 6907297394 10360946091 11111739286 16667608929 20721892182 31082838273 33335217858 50002826787 62165676546 100005653574 127785001789 255570003578 383355005367 766710010734 1150065016101 2300130032202