Search a number
-
+
213514722561 = 3723507787071
BaseRepresentation
bin1100011011011001111…
…0000001110100000001
3202102010012121201120110
43012312132001310001
511444234232110221
6242030505301533
721266044124340
oct3066636016401
9672105551513
10213514722561
11826075492a8
12354697948a9
131719922c22a
14a496d55b57
155849b9b776
hex31b6781d01

213514722561 has 32 divisors (see below), whose sum is σ = 339572441088. Its totient is φ = 116679372480.

The previous prime is 213514722559. The next prime is 213514722569. The reversal of 213514722561 is 165227415312.

It is not a de Polignac number, because 213514722561 - 21 = 213514722559 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213514722569) 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, 2408656 + ... + 2495726.

It is an arithmetic number, because the mean of its divisors is an integer number (10611638784).

Almost surely, 2213514722561 is an apocalyptic number.

213514722561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213514722561 is a deficient number, since it is larger than the sum of its proper divisors (126057718527).

213514722561 is a wasteful number, since it uses less digits than its factorization.

213514722561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92181.

The product of its digits is 100800, while the sum is 39.

The spelling of 213514722561 in words is "two hundred thirteen billion, five hundred fourteen million, seven hundred twenty-two thousand, five hundred sixty-one".

Divisors: 1 3 7 21 23 69 161 483 5077 15231 35539 87071 106617 116771 261213 350313 609497 817397 1828491 2002633 2452191 6007899 14018431 42055293 442059467 1326178401 3094416269 9283248807 10167367741 30502103223 71171574187 213514722561