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10252130625 = 325411672473
BaseRepresentation
bin10011000110001001…
…10001100101000001
3222110111012012022200
421203010301211001
5131444021140000
64413150423413
7512025446442
oct114304614501
928414165280
1010252130625
114391073530
121ba1501b69
13c74cc78a9
146d38352c9
154000b3500
hex263131941

10252130625 has 120 divisors (see below), whose sum is σ = 20496713952. Its totient is φ = 4894560000.

The previous prime is 10252130611. The next prime is 10252130659. The reversal of 10252130625 is 52603125201.

It is a happy number.

10252130625 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 2 + 1 + 30 + 625 = 666.

It is not a de Polignac number, because 10252130625 - 214 = 10252114241 is a prime.

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 119 ways as a sum of consecutive naturals, for example, 4144389 + ... + 4146861.

Almost surely, 210252130625 is an apocalyptic number.

10252130625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10252130625 is a deficient number, since it is larger than the sum of its proper divisors (10244583327).

10252130625 is a wasteful number, since it uses less digits than its factorization.

10252130625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10252130625 its reverse (52603125201), we get a palindrome (62855255826).

The spelling of 10252130625 in words is "ten billion, two hundred fifty-two million, one hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 67 75 99 125 165 201 225 275 335 375 495 603 625 737 825 1005 1125 1375 1675 1875 2211 2473 2475 3015 3685 4125 5025 5625 6633 6875 7419 8375 11055 12365 12375 15075 18425 20625 22257 25125 27203 33165 37095 41875 55275 61825 61875 75375 81609 92125 111285 125625 136015 165691 165825 185475 244827 276375 309125 376875 408045 460625 497073 556425 680075 828455 829125 927375 1224135 1381875 1491219 1545625 1822601 2040225 2485365 2782125 3400375 4142275 4145625 4636875 5467803 6120675 7456095 9113005 10201125 12426825 13910625 16403409 17001875 20711375 27339015 30603375 37280475 45565025 51005625 62134125 82017045 103556875 136695075 153016875 186402375 227825125 310670625 410085225 683475375 932011875 1139125625 2050426125 3417376875 10252130625