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213141120213 = 3782912243157
BaseRepresentation
bin1100011010000000110…
…0110110010011010101
3202101011011121202111110
43012200030312103111
511443003111321323
6241525441525233
721253556425560
oct3064014662325
9671134552443
10213141120213
118243567332a
1235384643819
1317139a01058
14a45d4a34d7
155826e9e793
hex31a03364d5

213141120213 has 16 divisors (see below), whose sum is σ = 325178276480. Its totient is φ = 121647998016.

The previous prime is 213141120209. The next prime is 213141120223. The reversal of 213141120213 is 312021141312.

It is not a de Polignac number, because 213141120213 - 22 = 213141120209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213141120213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213141120223) 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 15 ways as a sum of consecutive naturals, for example, 6104170 + ... + 6138987.

It is an arithmetic number, because the mean of its divisors is an integer number (20323642280).

Almost surely, 2213141120213 is an apocalyptic number.

It is an amenable number.

213141120213 is a deficient number, since it is larger than the sum of its proper divisors (112037156267).

213141120213 is a wasteful number, since it uses less digits than its factorization.

213141120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12243996.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 213141120213 its reverse (312021141312), we get a palindrome (525162261525).

The spelling of 213141120213 in words is "two hundred thirteen billion, one hundred forty-one million, one hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 7 21 829 2487 5803 17409 12243157 36729471 85702099 257106297 10149577153 30448731459 71047040071 213141120213