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1054132125 = 3537973527
BaseRepresentation
bin111110110101001…
…100011110011101
32201110112110102120
4332311030132131
54124324212000
6252333413153
735056655334
oct7665143635
92643473376
101054132125
114a1037082
1225503a1b9
1313a511327
149dddcd1b
15628256a0
hex3ed4c79d

1054132125 has 32 divisors (see below), whose sum is σ = 1756774656. Its totient is φ = 561339200.

The previous prime is 1054132111. The next prime is 1054132129. The reversal of 1054132125 is 5212314501.

It is a happy number.

It is not a de Polignac number, because 1054132125 - 218 = 1053869981 is a prime.

It is a super-2 number, since 2×10541321252 = 2222389073914031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054132095 and 1054132104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054132129) 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 31 ways as a sum of consecutive naturals, for example, 297112 + ... + 300638.

It is an arithmetic number, because the mean of its divisors is an integer number (54899208).

Almost surely, 21054132125 is an apocalyptic number.

1054132125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1054132125 is a deficient number, since it is larger than the sum of its proper divisors (702642531).

1054132125 is an equidigital number, since it uses as much as digits as its factorization.

1054132125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1054132125 is about 32467.4009584999. The cubic root of 1054132125 is about 1017.7279058533.

Adding to 1054132125 its reverse (5212314501), we get a palindrome (6266446626).

The spelling of 1054132125 in words is "one billion, fifty-four million, one hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 375 797 2391 3527 3985 10581 11955 17635 19925 52905 59775 88175 99625 264525 298875 440875 1322625 2811019 8433057 14055095 42165285 70275475 210826425 351377375 1054132125