Search a number
-
+
1103749854025 = 527213223092
BaseRepresentation
bin10000000011111100100…
…111100011001101001001
310220111222020002002102011
4100003330213203031021
5121040434430312100
62203020005535521
7142512643650400
oct20037447431511
93814866062364
101103749854025
11396109021905
12159ab77145a1
1380110935a00
143b5c9504637
151da9ecb3bba
hex100fc9e3349

1103749854025 has 81 divisors (see below), whose sum is σ = 1724739991551. Its totient is φ = 698334698880.

The previous prime is 1103749854023. The next prime is 1103749854041. The reversal of 1103749854025 is 5204589473011.

It is a happy number.

The square root of 1103749854025 is 1050595.

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 732152324281 + 371597529744 = 855659^2 + 609588^2 .

It is not a de Polignac number, because 1103749854025 - 21 = 1103749854023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 1103749854025.

It is not an unprimeable number, because it can be changed into a prime (1103749854023) 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 80 ways as a sum of consecutive naturals, for example, 478019571 + ... + 478021879.

Almost surely, 21103749854025 is an apocalyptic number.

1103749854025 is the 1050595-th square number.

1103749854025 is the 525298-th centered octagonal number.

It is an amenable number.

1103749854025 is a deficient number, since it is larger than the sum of its proper divisors (620990137526).

1103749854025 is an frugal number, since it uses more digits than its factorization.

1103749854025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 1103749854025 by its sum of digits (49), we get a square (54083742847225 = 73541652).

1103749854025 divided by its sum of digits (49) gives a square (22525507225 = 1500852).

The spelling of 1103749854025 in words is "one trillion, one hundred three billion, seven hundred forty-nine million, eight hundred fifty-four thousand, twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 169 175 245 325 455 637 845 1183 1225 2275 2309 3185 4225 5915 8281 11545 15925 16163 29575 30017 41405 57725 80815 113141 150085 207025 210119 390221 404075 565705 750425 1050595 1470833 1951105 2731547 2828525 5252975 5331481 7354165 9755525 13657735 19120829 26657405 36770825 37320367 68288675 69309253 95604145 133287025 186601835 261242569 346546265 478020725 485164771 901020289 933009175 1306212845 1732731325 2425823855 3396153397 4505101445 6307142023 6531064225 12129119275 16980766985 22525507225 31535710115 44149994161 84903834925 157678550575 220749970805 1103749854025