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2104345125 = 325329531217
BaseRepresentation
bin111110101101101…
…1100001000100101
312102122200210211100
41331123130020211
513302203021000
6544451230313
7103101431661
oct17533341045
95378623740
102104345125
1198a936703
124a88a8399
13276c7c83c
1415d69b8a1
15c4b24a00
hex7d6dc225

2104345125 has 96 divisors (see below), whose sum is σ = 4001568480. Its totient is φ = 1062297600.

The previous prime is 2104345097. The next prime is 2104345127. The reversal of 2104345125 is 5215434012.

2104345125 is a `hidden beast` number, since 210 + 434 + 5 + 12 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1403101764 + 701243361 = 37458^2 + 26481^2 .

It is not a de Polignac number, because 2104345125 - 27 = 2104344997 is a prime.

It is a super-2 number, since 2×21043451252 = 8856536810222531250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104345127) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1728517 + ... + 1729733.

It is an arithmetic number, because the mean of its divisors is an integer number (41683005).

Almost surely, 22104345125 is an apocalyptic number.

2104345125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2104345125 is a deficient number, since it is larger than the sum of its proper divisors (1897223355).

2104345125 is a wasteful number, since it uses less digits than its factorization.

2104345125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2104345125 is about 45873.1416517334. The cubic root of 2104345125 is about 1281.4617750279.

Adding to 2104345125 its reverse (5215434012), we get a palindrome (7319779137).

The spelling of 2104345125 in words is "two billion, one hundred four million, three hundred forty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 53 75 87 125 145 159 225 261 265 375 435 477 725 795 1125 1217 1305 1325 1537 2175 2385 3625 3651 3975 4611 6085 6525 6625 7685 10875 10953 11925 13833 18255 19875 23055 30425 32625 35293 38425 54765 59625 64501 69165 91275 105879 115275 152125 176465 192125 193503 273825 317637 322505 345825 456375 529395 576375 580509 882325 967515 1369125 1588185 1612525 1729125 1870529 2646975 2902545 4411625 4837575 5611587 7940925 8062625 9352645 13234875 14512725 16834761 24187875 28057935 39704625 46763225 72563625 84173805 140289675 233816125 420869025 701448375 2104345125