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13431134125 = 533753157349
BaseRepresentation
bin11001000001000111…
…01101011110101101
31021200001001022022001
430200203231132231
5210001332243000
610100431452301
7653556520303
oct144043553655
937601038261
1013431134125
115772585952
12272a087091
1313607c4556
14915b16273
1553921546a
hex3208ed7ad

13431134125 has 64 divisors (see below), whose sum is σ = 17702193600. Its totient is φ = 10162713600.

The previous prime is 13431134099. The next prime is 13431134131. The reversal of 13431134125 is 52143113431.

It can be written as a sum of positive squares in 32 ways, for example, as 9917371396 + 3513762729 = 99586^2 + 59277^2 .

It is not a de Polignac number, because 13431134125 - 215 = 13431101357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13431134093 and 13431134102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38484451 + ... + 38484799.

It is an arithmetic number, because the mean of its divisors is an integer number (276596775).

Almost surely, 213431134125 is an apocalyptic number.

It is an amenable number.

13431134125 is a deficient number, since it is larger than the sum of its proper divisors (4271059475).

13431134125 is a wasteful number, since it uses less digits than its factorization.

13431134125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 601 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

Adding to 13431134125 its reverse (52143113431), we get a palindrome (65574247556).

The spelling of 13431134125 in words is "thirteen billion, four hundred thirty-one million, one hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 5 25 37 53 125 157 185 265 349 785 925 1325 1745 1961 3925 4625 5809 6625 8321 8725 9805 12913 18497 19625 29045 41605 43625 49025 54793 64565 92485 145225 208025 245125 273965 307877 322825 462425 684389 726125 1040125 1369825 1539385 1614125 2027341 2312125 2904029 3421945 6849125 7696925 10136705 14520145 17109725 38484625 50683525 72600725 85548625 107449073 253417625 363003625 537245365 2686226825 13431134125