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2300113212102 = 233103457904903
BaseRepresentation
bin100001011110001001011…
…011100101001011000110
322010212222211210122112000
4201132021123211023012
5300141112440241402
64520354000410130
7325114643501016
oct41361133451306
98125884718460
102300113212102
11807521a43002
1231193b316946
13138b90981394
147d47ca61c46
153ec705a0c1c
hex217896e52c6

2300113212102 has 64 divisors (see below), whose sum is σ = 5172286479360. Its totient is φ = 757598432832.

The previous prime is 2300113212101. The next prime is 2300113212143. The reversal of 2300113212102 is 2012123110032.

2300113212102 is a `hidden beast` number, since 230 + 0 + 11 + 321 + 2 + 102 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300113212101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2089383 + ... + 2994285.

It is an arithmetic number, because the mean of its divisors is an integer number (80816976240).

Almost surely, 22300113212102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300113212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586143239680).

2300113212102 is an abundant number, since it is smaller than the sum of its proper divisors (2872173267258).

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

2300113212102 is a wasteful number, since it uses less digits than its factorization.

2300113212102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905474 (or 905468 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2300113212102 its reverse (2012123110032), we get a palindrome (4312236322134).

The spelling of 2300113212102 in words is "two trillion, three hundred billion, one hundred thirteen million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 457 618 914 927 1371 1854 2742 2781 4113 5562 8226 12339 24678 47071 94142 141213 282426 423639 847278 904903 1270917 1809806 2541834 2714709 5429418 8144127 16288254 24432381 48864762 93205009 186410018 279615027 413540671 559230054 827081342 838845081 1240622013 1677690162 2481244026 2516535243 3721866039 5033070486 7443732078 11165598117 22331196234 42594689113 85189378226 127784067339 255568134678 383352202017 766704404034 1150056606051 2300113212102