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110214040225 = 526729912
BaseRepresentation
bin110011010100101000…
…1001100101010100001
3101112111000011100100211
41212221101030222201
53301204243241400
6122344233214121
710651130612302
oct1465121145241
9345430140324
10110214040225
1142817a52763
121943a561341
13a51595ba23
1454977bc7a9
152d00cc6dba
hex19a944caa1

110214040225 has 27 divisors (see below), whose sum is σ = 138875773491. Its totient is φ = 86767599600.

The previous prime is 110214040219. The next prime is 110214040241. The reversal of 110214040225 is 522040412011.

The square root of 110214040225 is 331985.

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., 39677054481 + 70536985744 = 199191^2 + 265588^2 .

It is not a de Polignac number, because 110214040225 - 29 = 110214039713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110214040196 and 110214040205.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 111214480 + ... + 111215470.

Almost surely, 2110214040225 is an apocalyptic number.

110214040225 is the 331985-th square number.

110214040225 is the 165993-rd centered octagonal number.

It is an amenable number.

110214040225 is a deficient number, since it is larger than the sum of its proper divisors (28661733266).

110214040225 is an frugal number, since it uses more digits than its factorization.

110214040225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 110214040225 its reverse (522040412011), we get a palindrome (632254452236).

The spelling of 110214040225 in words is "one hundred ten billion, two hundred fourteen million, forty thousand, two hundred twenty-five".

Divisors: 1 5 25 67 335 991 1675 4489 4955 22445 24775 66397 112225 331985 982081 1659925 4448599 4910405 22242995 24552025 65799427 111214975 328997135 1644985675 4408561609 22042808045 110214040225