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213293272365 = 3254739850497
BaseRepresentation
bin1100011010100101000…
…1010000110100101101
3202101112202220220000100
43012221101100310231
511443311034203430
6241552515021313
721260414621055
oct3065121206455
9671482826010
10213293272365
1182503545508
123540759a839
13171623a4704
14a47578c565
155835506960
hex31a9450d2d

213293272365 has 12 divisors (see below), whose sum is σ = 369708338844. Its totient is φ = 113756411904.

The previous prime is 213293272327. The next prime is 213293272393. The reversal of 213293272365 is 563272392312.

213293272365 is a `hidden beast` number, since 2 + 13 + 2 + 9 + 3 + 272 + 365 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157274903241 + 56018369124 = 396579^2 + 236682^2 .

It is not a de Polignac number, because 213293272365 - 26 = 213293272301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 4739850497 = 213293272365 / (2 + 1 + 3 + 2 + 9 + 3 + 2 + 7 + 2 + 3 + 6 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213293272365.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2369925204 + ... + 2369925293.

It is an arithmetic number, because the mean of its divisors is an integer number (30809028237).

Almost surely, 2213293272365 is an apocalyptic number.

It is an amenable number.

213293272365 is a deficient number, since it is larger than the sum of its proper divisors (156415066479).

213293272365 is a wasteful number, since it uses less digits than its factorization.

213293272365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739850508 (or 4739850505 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 213293272365 in words is "two hundred thirteen billion, two hundred ninety-three million, two hundred seventy-two thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 4739850497 14219551491 23699252485 42658654473 71097757455 213293272365