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221135298049 = 37691212517
BaseRepresentation
bin1100110111110010110…
…0001101111000000001
3210010210022002001220001
43031330230031320001
512110341114014144
6245331012520001
721655640006521
oct3157454157001
9703708061801
10221135298049
1185868124476
1236a35920001
1317b11c860b3
14a9bb093681
155b43be9bd4
hex337cb0de01

221135298049 has 12 divisors (see below), whose sum is σ = 227459245332. Its totient is φ = 214830131040.

The previous prime is 221135298029. The next prime is 221135298101. The reversal of 221135298049 is 940892531122.

221135298049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 202979083024 + 18156215025 = 450532^2 + 134745^2 .

It is a de Polignac number, because none of the positive numbers 2k-221135298049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221135298029) 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 11 ways as a sum of consecutive naturals, for example, 17660539 + ... + 17673055.

It is an arithmetic number, because the mean of its divisors is an integer number (18954937111).

Almost surely, 2221135298049 is an apocalyptic number.

It is an amenable number.

221135298049 is a deficient number, since it is larger than the sum of its proper divisors (6323947283).

221135298049 is an frugal number, since it uses more digits than its factorization.

221135298049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13936 (or 13245 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 221135298049 in words is "two hundred twenty-one billion, one hundred thirty-five million, two hundred ninety-eight thousand, forty-nine".

Divisors: 1 37 691 12517 25567 463129 477481 8649247 17666797 320022139 5976629677 221135298049