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1110104568225 = 3252702412
BaseRepresentation
bin10000001001110111011…
…000110111000110100001
310221010101002121000111100
4100021313120313012201
5121141443232140400
62205550333305013
7143126266066062
oct20116730670641
93833332530440
101110104568225
1139887a0a7724
1215b18b935169
13808b4348623
143ba2d48a569
151dd22b17100
hex102776371a1

1110104568225 has 27 divisors (see below), whose sum is σ = 1988348934169. Its totient is φ = 592047340800.

The previous prime is 1110104568217. The next prime is 1110104568227. The reversal of 1110104568225 is 5228654010111.

The square root of 1110104568225 is 1053615.

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

1110104568225 is a `hidden beast` number, since 1 + 1 + 101 + 0 + 456 + 82 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 367770686481 + 742333881744 = 606441^2 + 861588^2 .

It is not a de Polignac number, because 1110104568225 - 23 = 1110104568217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1110104568225.

It is not an unprimeable number, because it can be changed into a prime (1110104568227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15769105 + ... + 15839345.

Almost surely, 21110104568225 is an apocalyptic number.

1110104568225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1110104568225 is the 1053615-th square number.

1110104568225 is the 526808-th centered octagonal number.

It is an amenable number.

1110104568225 is a deficient number, since it is larger than the sum of its proper divisors (878244365944).

1110104568225 is an frugal number, since it uses more digits than its factorization.

1110104568225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140498 (or 70249 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Multiplying 1110104568225 by its sum of digits (36), we get a square (39963764456100 = 63216902).

Adding to 1110104568225 its reverse (5228654010111), we get a palindrome (6338758578336).

The spelling of 1110104568225 in words is "one trillion, one hundred ten billion, one hundred four million, five hundred sixty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 70241 210723 351205 632169 1053615 1756025 3160845 5268075 15804225 4933798081 14801394243 24668990405 44404182729 74006971215 123344952025 222020913645 370034856075 1110104568225