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213103300303131 = 37191134726491013
BaseRepresentation
bin110000011101000011111010…
…100000111101100100011011
31000221112110212101212200212220
4300131003322200331210123
5210412441024334200011
62033122145450035123
762613130304221560
oct6035037240754433
91027473771780786
10213103300303131
11619a066947a797
121ba98a20118aa3
1391ba72a414004
143a8a37d124867
15199848c573506
hexc1d0fa83d91b

213103300303131 has 32 divisors (see below), whose sum is σ = 344844784381440. Its totient is φ = 114343270562304.

The previous prime is 213103300303121. The next prime is 213103300303247. The reversal of 213103300303131 is 131303003301312.

213103300303131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213103300303131 - 218 = 213103300040987 is a prime.

It is a super-2 number, since 2×2131033003031312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213103300303121) 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, 2363200420 + ... + 2363290593.

It is an arithmetic number, because the mean of its divisors is an integer number (10776399511920).

Almost surely, 2213103300303131 is an apocalyptic number.

213103300303131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213103300303131 is a deficient number, since it is larger than the sum of its proper divisors (131741484078309).

213103300303131 is a wasteful number, since it uses less digits than its factorization.

213103300303131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726491155.

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

Adding to 213103300303131 its reverse (131303003301312), we get a palindrome (344406303604443).

The spelling of 213103300303131 in words is "two hundred thirteen trillion, one hundred three billion, three hundred million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 19 21 57 113 133 339 399 791 2147 2373 6441 15029 45087 4726491013 14179473039 33085437091 89803329247 99256311273 269409987741 534093484469 628623304729 1602280453407 1885869914187 3738654391283 10147776204911 11215963173849 30443328614733 71034433434377 213103300303131