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1300375505 = 5112131011637
BaseRepresentation
bin100110110000010…
…0010011111010001
310100121212220211202
41031200202133101
510130344004010
6333011320545
744140003142
oct11540423721
93317786752
101300375505
11608034400
123035b0155
13179539b80
14c49bbac9
15792666a5
hex4d8227d1

1300375505 has 48 divisors (see below), whose sum is σ = 1866573072. Its totient is φ = 863808000.

The previous prime is 1300375481. The next prime is 1300375519. The reversal of 1300375505 is 5055730031.

It can be written as a sum of positive squares in 8 ways, for example, as 98227921 + 1202147584 = 9911^2 + 34672^2 .

It is not a de Polignac number, because 1300375505 - 212 = 1300371409 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793547 + ... + 795183.

It is an arithmetic number, because the mean of its divisors is an integer number (38886939).

Almost surely, 21300375505 is an apocalyptic number.

It is an amenable number.

1300375505 is a deficient number, since it is larger than the sum of its proper divisors (566197567).

1300375505 is a wasteful number, since it uses less digits than its factorization.

1300375505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 7875, while the sum is 29.

The square root of 1300375505 is about 36060.7196960904. The cubic root of 1300375505 is about 1091.4979558898.

The spelling of 1300375505 in words is "one billion, three hundred million, three hundred seventy-five thousand, five hundred five".

Divisors: 1 5 11 13 55 65 101 121 143 505 605 715 1111 1313 1573 1637 5555 6565 7865 8185 12221 14443 18007 21281 61105 72215 90035 106405 158873 165337 198077 234091 794365 826685 990385 1170455 1818707 2149381 2575001 9093535 10746905 12875005 20005777 23643191 100028885 118215955 260075101 1300375505