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10001187225 = 3252192980671
BaseRepresentation
bin10010101000001111…
…00000000110011001
3221210222222221200200
421110013200012121
5130440300442400
64332224052413
7502560455151
oct112407400631
927728887620
1010001187225
114272455a97
121b31464109
13c35014983
146ac391761
153d8044b00
hex2541e0199

10001187225 has 72 divisors (see below), whose sum is σ = 19506489600. Its totient is φ = 4878921600.

The previous prime is 10001187197. The next prime is 10001187281. The reversal of 10001187225 is 52278110001.

It is not a de Polignac number, because 10001187225 - 210 = 10001186201 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83640 + ... + 164310.

Almost surely, 210001187225 is an apocalyptic number.

10001187225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10001187225 is a deficient number, since it is larger than the sum of its proper divisors (9505302375).

10001187225 is a wasteful number, since it uses less digits than its factorization.

10001187225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80735 (or 80727 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 10001187225 its reverse (52278110001), we get a palindrome (62279297226).

The spelling of 10001187225 in words is "ten billion, one million, one hundred eighty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 29 45 57 75 87 95 145 171 225 261 285 435 475 551 725 855 1305 1425 1653 2175 2755 4275 4959 6525 8265 13775 24795 41325 80671 123975 242013 403355 726039 1210065 1532749 2016775 2339459 3630195 4598247 6050325 7018377 7663745 11697295 13794741 18150975 21055131 22991235 35091885 38318725 44449721 58486475 68973705 105275655 114956175 133349163 175459425 222248605 344868525 400047489 526378275 666745815 1111243025 2000237445 3333729075 10001187225