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4132105125 = 35313979273
BaseRepresentation
bin1111011001001010…
…1110101110100101
3101122222021200121120
43312102232232211
531430304331000
61522005204153
7204253212501
oct36622565645
911588250546
104132105125
111830513815
12973a00659
1350b0c6425
142b2b01301
15192b6c6a0
hexf64aeba5

4132105125 has 32 divisors (see below), whose sum is σ = 6925376640. Its totient is φ = 2187907200.

The previous prime is 4132105111. The next prime is 4132105139. The reversal of 4132105125 is 5215012314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4132105111) and next prime (4132105139).

It is not a de Polignac number, because 4132105125 - 213 = 4132096933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4132105095 and 4132105104.

It is a congruent number.

It is an unprimeable number.

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, 12489 + ... + 91761.

It is an arithmetic number, because the mean of its divisors is an integer number (216418020).

Almost surely, 24132105125 is an apocalyptic number.

It is an amenable number.

4132105125 is a deficient number, since it is larger than the sum of its proper divisors (2793271515).

4132105125 is a wasteful number, since it uses less digits than its factorization.

4132105125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79430 (or 79420 counting only the distinct ones).

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

The square root of 4132105125 is about 64281.4524182520. The cubic root of 4132105125 is about 1604.6874421692.

Adding to 4132105125 its reverse (5215012314), we get a palindrome (9347117439).

The spelling of 4132105125 in words is "four billion, one hundred thirty-two million, one hundred five thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 139 375 417 695 2085 3475 10425 17375 52125 79273 237819 396365 1189095 1981825 5945475 9909125 11018947 29727375 33056841 55094735 165284205 275473675 826421025 1377368375 4132105125