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211300203023 = 71319433282239
BaseRepresentation
bin1100010011001001111…
…0010011101000001111
3202012101212121110212022
43010302132103220033
511430220322444043
6241023040400355
721160134043220
oct3046236235017
9665355543768
10211300203023
1181680501a68
1234b500160bb
1316c054b5b40
14a326bb9247
15576a562868
hex3132793a0f

211300203023 has 32 divisors (see below), whose sum is σ = 274382438400. Its totient is φ = 158017153536.

The previous prime is 211300202977. The next prime is 211300203031. The reversal of 211300203023 is 320302003112.

211300203023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211300203023 - 212 = 211300198927 is a prime.

It is a super-2 number, since 2×2113002030232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211300202992 and 211300203010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211300203823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607538 + ... + 889776.

It is an arithmetic number, because the mean of its divisors is an integer number (8574451200).

Almost surely, 2211300203023 is an apocalyptic number.

211300203023 is a deficient number, since it is larger than the sum of its proper divisors (63082235377).

211300203023 is a wasteful number, since it uses less digits than its factorization.

211300203023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282711.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 211300203023 its reverse (320302003112), we get a palindrome (531602206135).

The spelling of 211300203023 in words is "two hundred eleven billion, three hundred million, two hundred three thousand, twenty-three".

Divisors: 1 7 13 19 91 133 247 433 1729 3031 5629 8227 39403 57589 106951 282239 748657 1975673 3669107 5362541 25683749 37537787 69713033 122209487 487991231 855466409 1588723331 2321980253 11121063317 16253861771 30185743289 211300203023