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125730802131 = 3113810024307
BaseRepresentation
bin111010100011000100…
…0111100100111010011
3110000112101200112010020
41311012020330213103
54024444041132011
6133432051234523
712040504120224
oct1650610744723
9400471615106
10125730802131
114935a83a630
122044aba8a43
13bb1957b44c
14612a4bd24b
15340d166006
hex1d4623c9d3

125730802131 has 8 divisors (see below), whose sum is σ = 182881166784. Its totient is φ = 76200486120.

The previous prime is 125730802091. The next prime is 125730802133. The reversal of 125730802131 is 131208037521.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 125730802131 - 215 = 125730769363 is a prime.

It is a super-2 number, since 2×1257308021312 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 3810024307 = 125730802131 / (1 + 2 + 5 + 7 + 3 + 0 + 8 + 0 + 2 + 1 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 125730802092 and 125730802101.

It is not an unprimeable number, because it can be changed into a prime (125730802133) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1905012121 + ... + 1905012186.

It is an arithmetic number, because the mean of its divisors is an integer number (22860145848).

Almost surely, 2125730802131 is an apocalyptic number.

125730802131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

125730802131 is a deficient number, since it is larger than the sum of its proper divisors (57150364653).

125730802131 is a wasteful number, since it uses less digits than its factorization.

125730802131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810024321.

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 125730802131 its reverse (131208037521), we get a palindrome (256938839652).

The spelling of 125730802131 in words is "one hundred twenty-five billion, seven hundred thirty million, eight hundred two thousand, one hundred thirty-one".

Divisors: 1 3 11 33 3810024307 11430072921 41910267377 125730802131