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1300312121 = 29109411361
BaseRepresentation
bin100110110000001…
…0011000000111001
310100121202200220012
41031200103000321
510130334441441
6333010111305
744136320303
oct11540230071
93317680805
101300312121
11607aa0819
1230357b535
13179517074
14c49a2973
15792529eb
hex4d813039

1300312121 has 8 divisors (see below), whose sum is σ = 1357494600. Its totient is φ = 1243952640.

The previous prime is 1300312103. The next prime is 1300312159. The reversal of 1300312121 is 1212130031.

It can be written as a sum of positive squares in 4 ways, for example, as 504451600 + 795860521 = 22460^2 + 28211^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1300312121 - 222 = 1296117817 is a prime.

It is a super-2 number, since 2×13003121212 = 3381623224039037282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1300312096 and 1300312105.

It is not an unprimeable number, because it can be changed into a prime (1300314121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202520 + ... + 208841.

It is an arithmetic number, because the mean of its divisors is an integer number (169686825).

Almost surely, 21300312121 is an apocalyptic number.

It is an amenable number.

1300312121 is a deficient number, since it is larger than the sum of its proper divisors (57182479).

1300312121 is a wasteful number, since it uses less digits than its factorization.

1300312121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411499.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1300312121 is about 36059.8408343686. The cubic root of 1300312121 is about 1091.4802213635.

Adding to 1300312121 its reverse (1212130031), we get a palindrome (2512442152).

The spelling of 1300312121 in words is "one billion, three hundred million, three hundred twelve thousand, one hundred twenty-one".

Divisors: 1 29 109 3161 411361 11929469 44838349 1300312121