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10145125601 = 132192166289
BaseRepresentation
bin10010111001011001…
…00101010011100001
3222012000211210000122
421130230211103201
5131234123004401
64354405130025
7506256100442
oct113454452341
928160753018
1010145125601
114336728026
121b716b9915
13c58aa0800
146c353d2c9
153e59c821b
hex25cb254e1

10145125601 has 18 divisors (see below), whose sum is σ = 11594237670. Its totient is φ = 8871797376.

The previous prime is 10145125597. The next prime is 10145125609. The reversal of 10145125601 is 10652154101.

It can be written as a sum of positive squares in 3 ways, for example, as 19936225 + 10125189376 = 4465^2 + 100624^2 .

It is not a de Polignac number, because 10145125601 - 22 = 10145125597 is a prime.

It is a super-2 number, since 2×101451256012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10145125609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22136 + ... + 144153.

It is an arithmetic number, because the mean of its divisors is an integer number (644124315).

Almost surely, 210145125601 is an apocalyptic number.

It is an amenable number.

10145125601 is a deficient number, since it is larger than the sum of its proper divisors (1449112069).

10145125601 is a wasteful number, since it uses less digits than its factorization.

10145125601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166353 (or 166321 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 10145125601 its reverse (10652154101), we get a palindrome (20797279702).

The spelling of 10145125601 in words is "ten billion, one hundred forty-five million, one hundred twenty-five thousand, six hundred one".

Divisors: 1 13 19 169 247 361 3211 4693 61009 166289 2161757 3159491 28102841 41073383 60030329 533953979 780394277 10145125601