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211343400213 = 311101183134631
BaseRepresentation
bin1100010011010100001…
…1000101110100010101
3202012111212220010021020
43010311003011310111
511430312402301323
6241031222311353
721161200155441
oct3046503056425
9665455803236
10211343400213
11816a2926720
1234b62588559
1316c1142b9ca
14a32c821821
15576e246ae3
hex31350c5d15

211343400213 has 32 divisors (see below), whose sum is σ = 310630754304. Its totient is φ = 126745800000.

The previous prime is 211343400181. The next prime is 211343400251. The reversal of 211343400213 is 312004343112.

It is a happy number.

It is not a de Polignac number, because 211343400213 - 25 = 211343400181 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211343400313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6085408 + ... + 6120038.

It is an arithmetic number, because the mean of its divisors is an integer number (9707211072).

Almost surely, 2211343400213 is an apocalyptic number.

It is an amenable number.

211343400213 is a deficient number, since it is larger than the sum of its proper divisors (99287354091).

211343400213 is a wasteful number, since it uses less digits than its factorization.

211343400213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36577.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 211343400213 its reverse (312004343112), we get a palindrome (523347743325).

The spelling of 211343400213 in words is "two hundred eleven billion, three hundred forty-three million, four hundred thousand, two hundred thirteen".

Divisors: 1 3 11 33 101 303 1111 1831 3333 5493 20141 34631 60423 103893 184931 380941 554793 1142823 2034241 3497731 6102723 10493193 38475041 63409361 115425123 190228083 697502971 2092508913 6404345461 19213036383 70447800071 211343400213