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1012300641 = 321122573617
BaseRepresentation
bin111100010101100…
…111101101100001
32121112211012102100
4330111213231201
54033122110031
6244241041013
734041261552
oct7425475541
92545735370
101012300641
1147a465500
12243026169
13131955c81
1498630329
155dd10de6
hex3c567b61

1012300641 has 36 divisors (see below), whose sum is σ = 1613924676. Its totient is φ = 610959360.

The previous prime is 1012300631. The next prime is 1012300657. The reversal of 1012300641 is 1460032101.

It is a happy number.

1012300641 is a `hidden beast` number, since 1 + 0 + 1 + 23 + 0 + 0 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 478690641 + 533610000 = 21879^2 + 23100^2 .

It is not a de Polignac number, because 1012300641 - 211 = 1012298593 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1012300631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 278065 + ... + 281681.

It is an arithmetic number, because the mean of its divisors is an integer number (44831241).

Almost surely, 21012300641 is an apocalyptic number.

1012300641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012300641 is a deficient number, since it is larger than the sum of its proper divisors (601624035).

1012300641 is a wasteful number, since it uses less digits than its factorization.

1012300641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1012300641 is about 31816.6723747157. The cubic root of 1012300641 is about 1004.0835158671.

Adding to 1012300641 its reverse (1460032101), we get a palindrome (2472332742).

The spelling of 1012300641 in words is "one billion, twelve million, three hundred thousand, six hundred forty-one".

Divisors: 1 3 9 11 33 99 121 257 363 771 1089 2313 2827 3617 8481 10851 25443 31097 32553 39787 93291 119361 279873 358083 437657 929569 1312971 2788707 3938913 8366121 10225259 30675777 92027331 112477849 337433547 1012300641