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112731420025 = 52725321812
BaseRepresentation
bin110100011111101010…
…0001111010101111001
3101202222110001111020201
41220333110033111321
53321333220420100
6123442121322201
711100406155100
oct1507724172571
9352873044221
10112731420025
1143899a47434
1219a21636361
13a827364a83
145655c75037
152debcd736a
hex1a3f50f579

112731420025 has 81 divisors (see below), whose sum is σ = 166656034503. Its totient is φ = 75424003200.

The previous prime is 112731420023. The next prime is 112731420031. The reversal of 112731420025 is 520024137211.

The square root of 112731420025 is 335755.

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 108623635561 + 4107784464 = 329581^2 + 64092^2 .

It is not a de Polignac number, because 112731420025 - 21 = 112731420023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112731419975 and 112731420002.

It is not an unprimeable number, because it can be changed into a prime (112731420023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 622825435 + ... + 622825615.

Almost surely, 2112731420025 is an apocalyptic number.

112731420025 is the 335755-th square number.

112731420025 is the 167878-th centered octagonal number.

It is an amenable number.

112731420025 is a deficient number, since it is larger than the sum of its proper divisors (53924614478).

112731420025 is an frugal number, since it uses more digits than its factorization.

112731420025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 112731420025 its reverse (520024137211), we get a palindrome (632755557236).

The spelling of 112731420025 in words is "one hundred twelve billion, seven hundred thirty-one million, four hundred twenty thousand, twenty-five".

Divisors: 1 5 7 25 35 49 53 175 181 245 265 371 905 1225 1267 1325 1855 2597 2809 4525 6335 8869 9275 9593 12985 14045 19663 31675 32761 44345 47965 64925 67151 70225 98315 137641 163805 221725 229327 239825 335755 470057 491575 508429 688205 819025 1146635 1605289 1678775 1736333 2350285 2542145 3441025 3559003 5733175 8026445 8681665 11751425 12154331 12710725 17795015 24913021 40132225 43408325 60771655 85080317 88975075 92025649 124565105 303858275 425401585 460128245 622825525 644179543 2127007925 2300641225 3220897715 4509256801 16104488575 22546284005 112731420025