Search a number
-
+
213423131201 = 71973190711527
BaseRepresentation
bin1100011011000100000…
…0101000101001000001
3202101212211021101211212
43012301000220221001
511444042310144301
6242013434215505
721263552453210
oct3066100505101
9671784241755
10213423131201
118256a880365
1235442b84595
1317183270b67
14a488b13077
155841b084bb
hex31b1028a41

213423131201 has 32 divisors (see below), whose sum is σ = 260425820160. Its totient is φ = 170827491456.

The previous prime is 213423131197. The next prime is 213423131203. The reversal of 213423131201 is 102131324312.

It is a cyclic number.

It is not a de Polignac number, because 213423131201 - 22 = 213423131197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213423131203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18509300 + ... + 18520826.

It is an arithmetic number, because the mean of its divisors is an integer number (8138306880).

Almost surely, 2213423131201 is an apocalyptic number.

It is an amenable number.

213423131201 is a deficient number, since it is larger than the sum of its proper divisors (47002688959).

213423131201 is a wasteful number, since it uses less digits than its factorization.

213423131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13533.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 213423131201 its reverse (102131324312), we get a palindrome (315554455513).

The spelling of 213423131201 in words is "two hundred thirteen billion, four hundred twenty-three million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 7 19 73 133 511 1387 1907 9709 11527 13349 36233 80689 139211 219013 253631 841471 974477 1533091 2645009 5890297 15987949 18515063 21981989 111915643 153873923 417657791 1604685197 2923604537 11232796379 30489018743 213423131201