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30103985025 = 32524322692
BaseRepresentation
bin11100000010010101…
…100101101110000001
32212200222221220000100
4130002111211232001
5443123110010100
621455104513013
72114001436122
oct340225455601
985628856010
1030103985025
1111848a07574
125a0191b769
132ab9aa26ba
141658196049
15bb2d19400
hex702565b81

30103985025 has 81 divisors (see below), whose sum is σ = 55408664649. Its totient is φ = 15623778240.

The previous prime is 30103984951. The next prime is 30103985027. The reversal of 30103985025 is 52058930103.

The square root of 30103985025 is 173505.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11547006849 + 18556978176 = 107457^2 + 136224^2 .

It is not a de Polignac number, because 30103985025 - 233 = 21514050433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30103985027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 111910591 + ... + 111910859.

Almost surely, 230103985025 is an apocalyptic number.

30103985025 is the 173505-th square number.

30103985025 is the 86753-rd centered octagonal number.

It is an amenable number.

30103985025 is a deficient number, since it is larger than the sum of its proper divisors (25304679624).

30103985025 is an equidigital number, since it uses as much as digits as its factorization.

30103985025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 30103985025 by its sum of digits (36), we get a square (1083743460900 = 10410302).

Multiplying 30103985025 by its product of nonzero digits (32400), we get a square (975369114810000 = 312309002).

The spelling of 30103985025 in words is "thirty billion, one hundred three million, nine hundred eighty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 129 215 225 269 387 645 807 1075 1345 1849 1935 2421 3225 4035 5547 6725 9245 9675 11567 12105 16641 20175 27735 34701 46225 57835 60525 72361 83205 104103 138675 173505 217083 289175 361805 416025 497381 520515 651249 867525 1085415 1492143 1809025 2486905 2602575 3111523 3256245 4476429 5427075 7460715 9334569 12434525 15557615 16281225 22382145 28003707 37303575 46672845 77788075 111910725 133795489 140018535 233364225 401386467 668977445 700092675 1204159401 2006932335 3344887225 6020797005 10034661675 30103985025