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205043215131 = 3323330182311
BaseRepresentation
bin1011111011110110000…
…1110010101100011011
3201121020210222120002000
42332331201302230123
511324412030341011
6234110123412043
720546106400056
oct2767541625433
9647223876060
10205043215131
1179a5a605397
12338a4684023
13164490cbb41
149cd1bd1a9d
1555010b5356
hex2fbd872b1b

205043215131 has 16 divisors (see below), whose sum is σ = 316975019520. Its totient is φ = 130752194760.

The previous prime is 205043215121. The next prime is 205043215133. The reversal of 205043215131 is 131512340502.

205043215131 is a `hidden beast` number, since 2 + 0 + 50 + 432 + 151 + 31 = 666.

It is not a de Polignac number, because 205043215131 - 26 = 205043215067 is a prime.

It is a super-2 number, since 2×2050432151312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 205043215095 and 205043215104.

It is not an unprimeable number, because it can be changed into a prime (205043215133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165090535 + ... + 165091776.

It is an arithmetic number, because the mean of its divisors is an integer number (19810938720).

Almost surely, 2205043215131 is an apocalyptic number.

205043215131 is a deficient number, since it is larger than the sum of its proper divisors (111931804389).

205043215131 is a wasteful number, since it uses less digits than its factorization.

205043215131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330182343 (or 330182337 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 205043215131 its reverse (131512340502), we get a palindrome (336555555633).

The spelling of 205043215131 in words is "two hundred five billion, forty-three million, two hundred fifteen thousand, one hundred thirty-one".

Divisors: 1 3 9 23 27 69 207 621 330182311 990546933 2971640799 7594193153 8914922397 22782579459 68347738377 205043215131