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213533213131 = 71747916212311
BaseRepresentation
bin1100011011011110010…
…0100100000111001011
3202102011111102010212101
43012313210210013023
511444304000310011
6242032405454231
721266360235610
oct3066744440713
9672144363771
10213533213131
1182616a28567
1235473a11377
13171a00045b4
14a4995aa507
15584b6002c1
hex31b79241cb

213533213131 has 32 divisors (see below), whose sum is σ = 259204423680. Its totient is φ = 171722073600.

The previous prime is 213533213099. The next prime is 213533213167. The reversal of 213533213131 is 131312335312.

It is a happy number.

213533213131 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 213533213131 - 25 = 213533213099 is a prime.

It is a super-2 number, since 2×2135332131312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213533213131.

It is not an unprimeable number, because it can be changed into a prime (213533210131) 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, 92397466 + ... + 92399776.

It is an arithmetic number, because the mean of its divisors is an integer number (8100138240).

Almost surely, 2213533213131 is an apocalyptic number.

213533213131 is a deficient number, since it is larger than the sum of its proper divisors (45671210549).

213533213131 is a wasteful number, since it uses less digits than its factorization.

213533213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435.

The product of its digits is 4860, while the sum is 28.

Adding to 213533213131 its reverse (131312335312), we get a palindrome (344845548443).

The spelling of 213533213131 in words is "two hundred thirteen billion, five hundred thirty-three million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 7 17 119 479 1621 2311 3353 8143 11347 16177 27557 39287 57001 192899 275009 776459 1106969 3746131 5435213 7748783 13199803 18818473 26222917 63684227 92398621 131729311 445789589 1794396749 12560777243 30504744733 213533213131