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213213300323211 = 321931065111524553
BaseRepresentation
bin110000011110101010010111…
…000001101111001110001011
31000221220222210111022200210200
4300132222113001233032023
5210421241314340320321
62033244501000143243
762624103226034556
oct6036522701571613
91027828714280720
10213213300323211
1161a332866339a1
121bab61baa67b23
1391c7c0a91a0a6
143a9181631169d
15199b279671d26
hexc1ea9706f38b

213213300323211 has 24 divisors (see below), whose sum is σ = 309599583102576. Its totient is φ = 141392423577600.

The previous prime is 213213300323189. The next prime is 213213300323329. The reversal of 213213300323211 is 112323003312312.

213213300323211 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 1 + 3 + 300 + 32 + 321 + 1 = 666.

It is not a de Polignac number, because 213213300323211 - 29 = 213213300322699 is a prime.

It is a super-2 number, since 2×2132133003232112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213213300327211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12738511 + ... + 24263063.

It is an arithmetic number, because the mean of its divisors is an integer number (12899982629274).

Almost surely, 2213213300323211 is an apocalyptic number.

213213300323211 is a deficient number, since it is larger than the sum of its proper divisors (96386282779365).

213213300323211 is a wasteful number, since it uses less digits than its factorization.

213213300323211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11535403 (or 11535400 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 213213300323211 its reverse (112323003312312), we get a palindrome (325536303635523).

The spelling of 213213300323211 in words is "two hundred thirteen trillion, two hundred thirteen billion, three hundred million, three hundred twenty-three thousand, two hundred eleven".

Divisors: 1 3 9 193 579 1737 10651 31953 95859 2055643 6166929 11524553 18500787 34573659 103720977 2224238729 6672716187 20018148561 122748014003 368244042009 1104732126027 23690366702579 71071100107737 213213300323211