Search a number
-
+
291101829093 = 32293110391289
BaseRepresentation
bin1000011110001110000…
…01010110011111100101
31000211101101110002222200
410033013001112133211
514232134032012333
6341421430245113
730013526502165
oct4170701263745
91024341402880
10291101829093
11102501436849
12485014b6799
13215b24b281a
14101374765a5
15788b3e8c13
hex43c70567e5

291101829093 has 12 divisors (see below), whose sum is σ = 421915510380. Its totient is φ = 193405536576.

The previous prime is 291101829079. The next prime is 291101829163. The reversal of 291101829093 is 390928101192.

291101829093 is a `hidden beast` number, since 291 + 10 + 182 + 90 + 93 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 241087874049 + 50013955044 = 491007^2 + 223638^2 .

It is not a de Polignac number, because 291101829093 - 228 = 290833393637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (291101829013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55193008 + ... + 55198281.

It is an arithmetic number, because the mean of its divisors is an integer number (35159625865).

Almost surely, 2291101829093 is an apocalyptic number.

It is an amenable number.

291101829093 is a deficient number, since it is larger than the sum of its proper divisors (130813681287).

291101829093 is a wasteful number, since it uses less digits than its factorization.

291101829093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110391588 (or 110391585 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 291101829093 in words is "two hundred ninety-one billion, one hundred one million, eight hundred twenty-nine thousand, ninety-three".

Divisors: 1 3 9 293 879 2637 110391289 331173867 993521601 32344647677 97033943031 291101829093