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205454232431 = 7261166341333
BaseRepresentation
bin1011111101011000000…
…1101100101101101111
3201122022110101101210222
42333112001230231233
511331232240414211
6234215005121555
720562230106200
oct2772601545557
9648273341728
10205454232431
117a150615808
123399a2592bb
13164b32ca046
149d306235a7
1555272031db
hex2fd606cb6f

205454232431 has 24 divisors (see below), whose sum is σ = 243067728384. Its totient is φ = 173108335680.

The previous prime is 205454232397. The next prime is 205454232437. The reversal of 205454232431 is 134232454502.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-205454232431 is a prime.

It is a super-2 number, since 2×2054542324312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205454232391 and 205454232400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205454232437) 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 23 ways as a sum of consecutive naturals, for example, 4950041 + ... + 4991373.

It is an arithmetic number, because the mean of its divisors is an integer number (10127822016).

Almost surely, 2205454232431 is an apocalyptic number.

205454232431 is a deficient number, since it is larger than the sum of its proper divisors (37613495953).

205454232431 is a wasteful number, since it uses less digits than its factorization.

205454232431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43071 (or 43064 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 205454232431 its reverse (134232454502), we get a palindrome (339686686933).

The spelling of 205454232431 in words is "two hundred five billion, four hundred fifty-four million, two hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 7 49 61 427 1663 2989 11641 41333 81487 101443 289331 710101 2025317 2521313 4970707 17649191 68736779 123544337 481157453 3368102171 4192943519 29350604633 205454232431