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31412125431 = 3329376716183
BaseRepresentation
bin11101010000010011…
…101111111011110111
310000002011110022022000
4131100103233323313
51003313001003211
622232554510343
72161264442421
oct352023577367
9100064408260
1031412125431
111235a364845
126107a353b3
132c67aca98b
14173dbd5811
15c3cab6656
hex7504efef7

31412125431 has 64 divisors (see below), whose sum is σ = 50183347200. Its totient is φ = 19378009728.

The previous prime is 31412125429. The next prime is 31412125463. The reversal of 31412125431 is 13452121413.

31412125431 is a `hidden beast` number, since 3 + 14 + 1 + 212 + 5 + 431 = 666.

It is not a de Polignac number, because 31412125431 - 21 = 31412125429 is a prime.

It is a super-2 number, since 2×314121254312 (a number of 22 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 = 31412125395 and 31412125404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31412125331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1932966 + ... + 1949148.

It is an arithmetic number, because the mean of its divisors is an integer number (784114800).

Almost surely, 231412125431 is an apocalyptic number.

31412125431 is a deficient number, since it is larger than the sum of its proper divisors (18771221769).

31412125431 is a wasteful number, since it uses less digits than its factorization.

31412125431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16325 (or 16319 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 31412125431 its reverse (13452121413), we get a palindrome (44864246844).

The spelling of 31412125431 in words is "thirty-one billion, four hundred twelve million, one hundred twenty-five thousand, four hundred thirty-one".

Divisors: 1 3 9 27 29 37 67 87 111 201 261 333 603 783 999 1073 1809 1943 2479 3219 5829 7437 9657 16183 17487 22311 28971 48549 52461 66933 71891 145647 215673 436941 469307 598771 647019 1084261 1407921 1796313 1941057 3252783 4223763 5388939 9758349 12671289 16166817 17364359 29275047 31443569 40117657 52093077 94330707 120352971 156279231 282992121 361058913 468837693 848976363 1083176739 1163412053 3490236159 10470708477 31412125431