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213141220251 = 3109682395531
BaseRepresentation
bin1100011010000000110…
…1001110101110011011
3202101011011210211201120
43012200031032232123
511443003123022001
6241525444020323
721253560323331
oct3064015165633
9671134724646
10213141220251
1182435731503
12353846916a3
1317139a3774b
14a45d4cbb51
155826ebe236
hex31a034eb9b

213141220251 has 16 divisors (see below), whose sum is σ = 286840561920. Its totient is φ = 140768422560.

The previous prime is 213141220231. The next prime is 213141220283. The reversal of 213141220251 is 152022141312.

It is a happy number.

213141220251 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 213141220251 - 223 = 213132831643 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213141220231) 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 15 ways as a sum of consecutive naturals, for example, 2183356 + ... + 2278886.

It is an arithmetic number, because the mean of its divisors is an integer number (17927535120).

Almost surely, 2213141220251 is an apocalyptic number.

213141220251 is a deficient number, since it is larger than the sum of its proper divisors (73699341669).

213141220251 is a wasteful number, since it uses less digits than its factorization.

213141220251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102466.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 213141220251 its reverse (152022141312), we get a palindrome (365163361563).

The spelling of 213141220251 in words is "two hundred thirteen billion, one hundred forty-one million, two hundred twenty thousand, two hundred fifty-one".

Divisors: 1 3 109 327 6823 20469 95531 286593 743707 2231121 10412879 31238637 651808013 1955424039 71047073417 213141220251