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10130145525 = 34525002541
BaseRepresentation
bin10010110111100110…
…11100000011110101
3222010222122201020000
421123303130003311
5131221304124100
64353112101513
7506014546653
oct113363340365
928128581200
1010130145525
1143292262a5
121b68694899
13c55957266
146c155ddd3
153e4519900
hex25bcdc0f5

10130145525 has 30 divisors (see below), whose sum is σ = 18764535042. Its totient is φ = 5402743200.

The previous prime is 10130145511. The next prime is 10130145533. The reversal of 10130145525 is 52554103101.

10130145525 is a `hidden beast` number, since 1 + 0 + 130 + 1 + 4 + 5 + 525 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 288116676 + 9842028849 = 16974^2 + 99207^2 .

It is not a de Polignac number, because 10130145525 - 211 = 10130143477 is a prime.

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

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 29 ways as a sum of consecutive naturals, for example, 2499246 + ... + 2503295.

Almost surely, 210130145525 is an apocalyptic number.

10130145525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10130145525 is a deficient number, since it is larger than the sum of its proper divisors (8634389517).

10130145525 is an equidigital number, since it uses as much as digits as its factorization.

10130145525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002563 (or 5002549 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 10130145525 its reverse (52554103101), we get a palindrome (62684248626).

The spelling of 10130145525 in words is "ten billion, one hundred thirty million, one hundred forty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 5002541 15007623 25012705 45022869 75038115 125063525 135068607 225114345 375190575 405205821 675343035 1125571725 2026029105 3376715175 10130145525