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125134033431 = 31183181252409
BaseRepresentation
bin111010010001010010…
…0011101001000010111
3102221222210202112100210
41310202210131020113
54022233303032211
6133252532340503
712016636506621
oct1644244351027
9387883675323
10125134033431
1149083999460
1220303174733
13ba52a44584
1460b1137c11
1533c5a859a6
hex1d2291d217

125134033431 has 32 divisors (see below), whose sum is σ = 185224515840. Its totient is φ = 74510841600.

The previous prime is 125134033429. The next prime is 125134033457. The reversal of 125134033431 is 134330431521.

It is a happy number.

It is not a de Polignac number, because 125134033431 - 21 = 125134033429 is a prime.

It is a super-2 number, since 2×1251340334312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125134031431) 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 31 ways as a sum of consecutive naturals, for example, 369555 + ... + 621963.

It is an arithmetic number, because the mean of its divisors is an integer number (5788266120).

Almost surely, 2125134033431 is an apocalyptic number.

125134033431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

125134033431 is a deficient number, since it is larger than the sum of its proper divisors (60090482409).

125134033431 is a wasteful number, since it uses less digits than its factorization.

125134033431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252687.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 125134033431 its reverse (134330431521), we get a palindrome (259464464952).

The spelling of 125134033431 in words is "one hundred twenty-five billion, one hundred thirty-four million, thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 11 33 83 181 249 543 913 1991 2739 5973 15023 45069 165253 252409 495759 757227 2776499 8329497 20949947 45686029 62849841 137058087 230449417 502546319 691348251 1507638957 3791940407 11375821221 41711344477 125134033431