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11521146002025 = 3521141340610377
BaseRepresentation
bin1010011110100111100111…
…0100001001101001101001
31111210102002110210121001010
42213221321310021221221
53002230301334031100
640300424051014133
72266242511126452
oct247517164115151
944712073717033
1011521146002025
1137420aa620740
121360a6059a349
136575934b5b5a
142bb8aad56129
1514ea58979750
hexa7a79d09a69

11521146002025 has 48 divisors (see below), whose sum is σ = 21286786183488. Its totient is φ = 5449766016000.

The previous prime is 11521146001933. The next prime is 11521146002027. The reversal of 11521146002025 is 52020064112511.

It is not a de Polignac number, because 11521146002025 - 28 = 11521146001769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11521146001983 and 11521146002001.

It is not an unprimeable number, because it can be changed into a prime (11521146002027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170271364 + ... + 170339013.

It is an arithmetic number, because the mean of its divisors is an integer number (443474712156).

Almost surely, 211521146002025 is an apocalyptic number.

11521146002025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11521146002025 is a deficient number, since it is larger than the sum of its proper divisors (9765640181463).

11521146002025 is a wasteful number, since it uses less digits than its factorization.

11521146002025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340610442 (or 340610437 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 11521146002025 in words is "eleven trillion, five hundred twenty-one billion, one hundred forty-six million, two thousand, twenty-five".

Divisors: 1 3 5 11 15 25 33 41 55 75 123 165 205 275 451 615 825 1025 1353 2255 3075 6765 11275 33825 340610377 1021831131 1703051885 3746714147 5109155655 8515259425 11240142441 13965025457 18733570735 25545778275 41895076371 56200712205 69825127285 93667853675 153615280027 209475381855 281003561025 349125636425 460845840081 768076400135 1047376909275 2304229200405 3840382000675 11521146002025