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201076012225 = 521123122632
BaseRepresentation
bin1011101101000100010…
…0000111010011000001
3201020000022222202210001
42323101010013103001
511243300424342400
6232212324440001
720345564621614
oct2732104072301
9636008882701
10201076012225
1178304192100
1232b77b49001
1315c662215ba
149a36d7817b
15536cb6ca6a
hex2ed11074c1

201076012225 has 81 divisors (see below), whose sum is σ = 284268353187. Its totient is φ = 140981676000.

The previous prime is 201076012217. The next prime is 201076012243. The reversal of 201076012225 is 522210670102.

The square root of 201076012225 is 448415.

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

It can be written as a sum of positive squares in only one way, i.e., 72387364401 + 128688647824 = 269049^2 + 358732^2 .

It is not a de Polignac number, because 201076012225 - 23 = 201076012217 is a prime.

It is a super-3 number, since 3×2010760122253 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201076012193 and 201076012202.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 764547444 + ... + 764547706.

Almost surely, 2201076012225 is an apocalyptic number.

201076012225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

201076012225 is the 448415-th square number.

201076012225 is the 224208-th centered octagonal number.

It is an amenable number.

201076012225 is a deficient number, since it is larger than the sum of its proper divisors (83192340962).

201076012225 is an equidigital number, since it uses as much as digits as its factorization.

201076012225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 310 counting only the distinct ones).

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

Adding to 201076012225 its reverse (522210670102), we get a palindrome (723286682327).

The spelling of 201076012225 in words is "two hundred one billion, seventy-six million, twelve thousand, two hundred twenty-five".

Divisors: 1 5 11 25 31 55 121 155 263 275 341 605 775 961 1315 1705 2893 3025 3751 4805 6575 8153 8525 10571 14465 18755 24025 31823 40765 52855 69169 72325 89683 93775 116281 159115 203825 252743 264275 345845 448415 581405 760859 795575 986513 1263715 1729225 2144239 2242075 2780173 2907025 3804295 4932565 6318575 8369449 10721195 13900865 19021475 23586629 24662825 30581903 41847245 53605975 66471409 69504325 117933145 152909515 209236225 259452919 332357045 589665725 731185499 764547575 1297264595 1661785225 3655927495 6486322975 8043040489 18279637475 40215202445 201076012225