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10287000977 = 112272931153
BaseRepresentation
bin10011001010010011…
…10010110110010001
3222112220210210110012
421211021302312101
5132031433012402
64420434044305
7512631031331
oct114511626621
928486723405
1010287000977
1143a9820100
121bb1119695
13c7c2b6636
146d83110c1
154031a0452
hex265272d91

10287000977 has 12 divisors (see below), whose sum is σ = 11311705860. Its totient is φ = 9348092160.

The previous prime is 10287000973. The next prime is 10287001001. The reversal of 10287000977 is 77900078201.

It can be written as a sum of positive squares in 2 ways, for example, as 6835320976 + 3451680001 = 82676^2 + 58751^2 .

It is not a de Polignac number, because 10287000977 - 22 = 10287000973 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10287000973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314633 + ... + 345785.

It is an arithmetic number, because the mean of its divisors is an integer number (942642155).

Almost surely, 210287000977 is an apocalyptic number.

It is an amenable number.

10287000977 is a deficient number, since it is larger than the sum of its proper divisors (1024704883).

10287000977 is a wasteful number, since it uses less digits than its factorization.

10287000977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33904 (or 33893 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 41.

The spelling of 10287000977 in words is "ten billion, two hundred eighty-seven million, nine hundred seventy-seven", and thus it is an aban number.

Divisors: 1 11 121 2729 30019 31153 330209 342683 3769513 85016537 935181907 10287000977