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31242330025 = 52232292532
BaseRepresentation
bin11101000110001100…
…000001111110101001
32222122022221210210021
4131012030001332221
51002441014030100
622204051320441
72154133265164
oct350614017651
988568853707
1031242330025
1112282531a65
12607abb0121
132c3b88a81a
141725436adb
15c2cc26a1a
hex746301fa9

31242330025 has 81 divisors (see below), whose sum is σ = 42749036239. Its totient is φ = 22647264640.

The previous prime is 31242330017. The next prime is 31242330043. The reversal of 31242330025 is 52003324213.

The square root of 31242330025 is 176755.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 12172929561 + 19069400464 = 110331^2 + 138092^2 .

It is not a de Polignac number, because 31242330025 - 23 = 31242330017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 589477899 + ... + 589477951.

Almost surely, 231242330025 is an apocalyptic number.

31242330025 is the 176755-th square number.

31242330025 is the 88378-th centered octagonal number.

It is an amenable number.

31242330025 is a deficient number, since it is larger than the sum of its proper divisors (11506706214).

31242330025 is an equidigital number, since it uses as much as digits as its factorization.

31242330025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Multiplying 31242330025 by its sum of digits (25), we get a square (781058250625 = 8837752).

31242330025 divided by its sum of digits (25) gives a square (1249693201 = 353512).

Adding to 31242330025 its reverse (52003324213), we get a palindrome (83245654238).

The spelling of 31242330025 in words is "thirty-one billion, two hundred forty-two million, three hundred thirty thousand, twenty-five".

Divisors: 1 5 23 25 29 53 115 145 265 529 575 667 725 841 1219 1325 1537 2645 2809 3335 4205 6095 7685 13225 14045 15341 16675 19343 21025 28037 30475 35351 38425 44573 64607 70225 76705 81461 96715 140185 176755 222865 323035 383525 407305 444889 483575 700925 813073 883775 1025179 1114325 1485961 1615175 1873603 2036525 2224445 2362369 4065365 5125895 7429805 9368015 11122225 11811845 20326825 23579117 25629475 37149025 43092869 46840075 54334487 59059225 117895585 215464345 271672435 589477925 1077321725 1249693201 1358362175 6248466005 31242330025