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125133610131 = 3337831509143
BaseRepresentation
bin111010010001010001…
…0110101110010010011
3102221222202222000201000
41310202202311302103
54022233201011011
6133252515313043
712016633064535
oct1644242656223
9387882860630
10125133610131
114908372a422
1220302bab783
13ba529269ba
1460b1067855
1533c5a00356
hex1d228b5c93

125133610131 has 32 divisors (see below), whose sum is σ = 192687505920. Its totient is φ = 80189769312.

The previous prime is 125133610099. The next prime is 125133610187. The reversal of 125133610131 is 131016331521.

It is a happy number.

125133610131 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 33 + 610 + 13 + 1 = 666.

It is not a de Polignac number, because 125133610131 - 25 = 125133610099 is a prime.

It is a super-2 number, since 2×1251336101312 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 125133610095 and 125133610104.

It is not an unprimeable number, because it can be changed into a prime (125133618131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671655 + ... + 837488.

It is an arithmetic number, because the mean of its divisors is an integer number (6021484560).

Almost surely, 2125133610131 is an apocalyptic number.

125133610131 is a deficient number, since it is larger than the sum of its proper divisors (67553895789).

125133610131 is a wasteful number, since it uses less digits than its factorization.

125133610131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509272 (or 1509266 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 125133610131 its reverse (131016331521), we get a palindrome (256149941652).

The spelling of 125133610131 in words is "one hundred twenty-five billion, one hundred thirty-three million, six hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 9 27 37 83 111 249 333 747 999 2241 3071 9213 27639 82917 1509143 4527429 13582287 40746861 55838291 125258869 167514873 375776607 502544619 1127329821 1507633857 3381989463 4634578153 13903734459 41711203377 125133610131