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291040971201 = 3232337885689
BaseRepresentation
bin1000011110000110110…
…01001100100111000001
31000211020010221012122200
410033003121030213001
514232022442034301
6341411414023413
730012160303011
oct4170331144701
91024203835580
10291040971201
1110248004a372
12484a5047b69
13215a29c5236
141012d353c41
157885dc6c86
hex43c364c9c1

291040971201 has 6 divisors (see below), whose sum is σ = 420392513970. Its totient is φ = 194027314128.

The previous prime is 291040971181. The next prime is 291040971209. The reversal of 291040971201 is 102179040192.

It can be written as a sum of positive squares in only one way, i.e., 250025000625 + 41015970576 = 500025^2 + 202524^2 .

It is not a de Polignac number, because 291040971201 - 213 = 291040963009 is a prime.

It is a super-2 number, since 2×2910409712012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (291040971209) 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 5 ways as a sum of consecutive naturals, for example, 16168942836 + ... + 16168942853.

It is an arithmetic number, because the mean of its divisors is an integer number (70065418995).

Almost surely, 2291040971201 is an apocalyptic number.

It is an amenable number.

291040971201 is a deficient number, since it is larger than the sum of its proper divisors (129351542769).

291040971201 is a wasteful number, since it uses less digits than its factorization.

291040971201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32337885695 (or 32337885692 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 291040971201 in words is "two hundred ninety-one billion, forty million, nine hundred seventy-one thousand, two hundred one".

Divisors: 1 3 9 32337885689 97013657067 291040971201