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213213012011 = 17231097976277
BaseRepresentation
bin1100011010010001111…
…1000110000000101011
3202101100011220020111122
43012210133012000223
511443130012341021
6241540530445455
721255421461626
oct3064437060053
9671304806448
10213213012011
118247220673a
12353a473388b
131714b88298c
14a468c58dbd
15582d450bab
hex31a47c602b

213213012011 has 32 divisors (see below), whose sum is σ = 238067786880. Its totient is φ = 189916379136.

The previous prime is 213213011993. The next prime is 213213012049. The reversal of 213213012011 is 110210312312.

It is a cyclic number.

It is not a de Polignac number, because 213213012011 - 226 = 213145903147 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213213012611) 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, 33964205 + ... + 33970481.

It is an arithmetic number, because the mean of its divisors is an integer number (7439618340).

Almost surely, 2213213012011 is an apocalyptic number.

213213012011 is a deficient number, since it is larger than the sum of its proper divisors (24854774869).

213213012011 is a wasteful number, since it uses less digits than its factorization.

213213012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7223.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 213213012011 its reverse (110210312312), we get a palindrome (323423324323).

The spelling of 213213012011 in words is "two hundred thirteen billion, two hundred thirteen million, twelve thousand, eleven".

Divisors: 1 17 23 109 391 797 1853 2507 6277 13549 18331 42619 86873 106709 144371 311627 684193 1476841 1998079 2454307 5002769 11631281 15736439 33967343 85047073 115063687 267519463 545301821 1956082679 9270130957 12541941883 213213012011