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1301414131 = 31337347359
BaseRepresentation
bin100110110010010…
…0000000011110011
310100200211200120101
41031210200003303
510131130223011
6333045453231
744151560203
oct11544400363
93320750511
101301414131
11608683776
12303a11217
13179811844
14c4bac403
15793be2c1
hex4d9200f3

1301414131 has 16 divisors (see below), whose sum is σ = 1355028480. Its totient is φ = 1248589440.

The previous prime is 1301414117. The next prime is 1301414197. The reversal of 1301414131 is 1314141031.

It is a cyclic number.

It is not a de Polignac number, because 1301414131 - 213 = 1301405939 is a prime.

It is a super-2 number, since 2×13014141312 = 3387357480732970322, 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 = 1301414099 and 1301414108.

It is not an unprimeable number, because it can be changed into a prime (1301414731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3624930 + ... + 3625288.

It is an arithmetic number, because the mean of its divisors is an integer number (84689280).

Almost surely, 21301414131 is an apocalyptic number.

1301414131 is a deficient number, since it is larger than the sum of its proper divisors (53614349).

1301414131 is a wasteful number, since it uses less digits than its factorization.

1301414131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1301414131 is about 36075.1178930853. The cubic root of 1301414131 is about 1091.7884761954.

Adding to 1301414131 its reverse (1314141031), we get a palindrome (2615555162).

The spelling of 1301414131 in words is "one billion, three hundred one million, four hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 31 337 347 359 10447 10757 11129 116939 120983 124573 3625109 3750473 3861763 41981101 1301414131