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1312300313001 = 32178753815713
BaseRepresentation
bin10011000110001011001…
…100011010100110101001
311122110021110120002120100
4103012023030122212221
5133000042340004001
62442510142020013
7163545011420256
oct23061314324651
94573243502510
101312300313001
114665a8351427
121923ba877609
1396998539362
144773101c42d
1524208c17586
hex1318b31a9a9

1312300313001 has 12 divisors (see below), whose sum is σ = 1895557824628. Its totient is φ = 874860908544.

The previous prime is 1312300312979. The next prime is 1312300313011. The reversal of 1312300313001 is 1003130032131.

It is a happy number.

1312300313001 is a `hidden beast` number, since 1 + 31 + 2 + 300 + 31 + 300 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 258343475625 + 1053956837376 = 508275^2 + 1026624^2 .

It is not a de Polignac number, because 1312300313001 - 29 = 1312300312489 is a prime.

It is a super-2 number, since 2×13123003130012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1312300313011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1200921 + ... + 2016633.

Almost surely, 21312300313001 is an apocalyptic number.

It is an amenable number.

1312300313001 is a deficient number, since it is larger than the sum of its proper divisors (583257511627).

1312300313001 is a wasteful number, since it uses less digits than its factorization.

1312300313001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994472 (or 994469 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1312300313001 its reverse (1003130032131), we get a palindrome (2315430345132).

The spelling of 1312300313001 in words is "one trillion, three hundred twelve billion, three hundred million, three hundred thirteen thousand, one".

Divisors: 1 3 9 178753 536259 815713 1608777 2447139 7341417 145811145889 437433437667 1312300313001