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10125332141 = 175927913617
BaseRepresentation
bin10010110111000010…
…00100111010101101
3222010122121011111112
421123201010322231
5131214041112031
64352421001405
7505625621531
oct113341047255
928118534445
1010125332141
1143265389a1
121b66b53265
13c549603c2
146c0a69bc1
153e3db862b
hex25b844ead

10125332141 has 16 divisors (see below), whose sum is σ = 10909572480. Its totient is φ = 9362257920.

The previous prime is 10125332089. The next prime is 10125332167. The reversal of 10125332141 is 14123352101.

10125332141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10125332141 - 214 = 10125315757 is a prime.

It is a super-3 number, since 3×101253321413 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125332641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2797565 + ... + 2801181.

It is an arithmetic number, because the mean of its divisors is an integer number (681848280).

Almost surely, 210125332141 is an apocalyptic number.

It is an amenable number.

10125332141 is a deficient number, since it is larger than the sum of its proper divisors (784240339).

10125332141 is a wasteful number, since it uses less digits than its factorization.

10125332141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 10125332141 its reverse (14123352101), we get a palindrome (24248684242).

The spelling of 10125332141 in words is "ten billion, one hundred twenty-five million, three hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 17 59 1003 2791 3617 47447 61489 164669 213403 2799373 3627851 10095047 171615799 595607773 10125332141