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1141190110225 = 52112194232
BaseRepresentation
bin10000100110110100001…
…110110010110000010001
311001002121111112011112201
4100212310032302300101
5122144124132011400
62232131104323201
7145306516613314
oct20466416626021
94032544464481
101141190110225
113aaa81080500
12165206313501
13837c959b669
143d33bb4c97b
151ea41bbd06a
hex109b43b2c11

1141190110225 has 27 divisors (see below), whose sum is σ = 1555493911419. Its totient is φ = 829913713200.

The previous prime is 1141190110213. The next prime is 1141190110259. The reversal of 1141190110225 is 5220110911411.

The square root of 1141190110225 is 1068265.

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., 410828439681 + 730361670544 = 640959^2 + 854612^2 .

It is not a de Polignac number, because 1141190110225 - 29 = 1141190109713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1141190110193 and 1141190110202.

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 26 ways as a sum of consecutive naturals, for example, 58744864 + ... + 58764286.

Almost surely, 21141190110225 is an apocalyptic number.

1141190110225 is the 1068265-th square number.

1141190110225 is the 534133-rd centered octagonal number.

It is an amenable number.

1141190110225 is a deficient number, since it is larger than the sum of its proper divisors (414303801194).

1141190110225 is an frugal number, since it uses more digits than its factorization.

1141190110225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38878 (or 19439 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 28.

The spelling of 1141190110225 in words is "one trillion, one hundred forty-one billion, one hundred ninety million, one hundred ten thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 19423 97115 213653 485575 1068265 2350183 5341325 11750915 58754575 377252929 1886264645 4149782219 9431323225 20748911095 45647604409 103744555475 228238022045 1141190110225