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205132236241 = 31371373673557
BaseRepresentation
bin1011111100001011010…
…1011000010111010001
3201121111000111022002011
42333002311120113101
511330102323024431
6234123023422521
720551240144612
oct2770265302721
9647430438064
10205132236241
1179aa5888259
123390a454a41
131646169a35a
149cdd965c09
155508cebcb1
hex2fc2d585d1

205132236241 has 32 divisors (see below), whose sum is σ = 219718397952. Its totient is φ = 191163732480.

The previous prime is 205132236233. The next prime is 205132236247. The reversal of 205132236241 is 142632231502.

It is a cyclic number.

It is not a de Polignac number, because 205132236241 - 23 = 205132236233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205132236247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57668235 + ... + 57671791.

It is an arithmetic number, because the mean of its divisors is an integer number (6866199936).

Almost surely, 2205132236241 is an apocalyptic number.

It is an amenable number.

205132236241 is a deficient number, since it is larger than the sum of its proper divisors (14586161711).

205132236241 is a wasteful number, since it uses less digits than its factorization.

205132236241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 205132236241 its reverse (142632231502), we get a palindrome (347764467743).

The spelling of 205132236241 in words is "two hundred five billion, one hundred thirty-two million, two hundred thirty-six thousand, two hundred forty-one".

Divisors: 1 31 37 137 367 1147 3557 4247 5069 11377 13579 50279 110267 131609 157139 420949 487309 1305419 1558649 1860323 4079879 15106579 18030433 40467989 48300503 57670013 178842403 558943423 1497315593 5544114493 6617168911 205132236241