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301134431137 is a prime number
BaseRepresentation
bin1000110000111010000…
…00101100001110100001
31001210021120120002201011
410120131000230032201
514413210403244022
6350201135540521
730520251300631
oct4303500541641
91053246502634
10301134431137
1110678a5991a1
124a44138a741
1322520b76437
1410809a846c1
157c77096977
hex461d02c3a1

301134431137 has 2 divisors, whose sum is σ = 301134431138. Its totient is φ = 301134431136.

The previous prime is 301134431063. The next prime is 301134431149. The reversal of 301134431137 is 731134431103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182281179136 + 118853252001 = 426944^2 + 344751^2 .

It is a cyclic number.

It is not a de Polignac number, because 301134431137 - 27 = 301134431009 is a prime.

It is a super-2 number, since 2×3011344311372 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 301134431099 and 301134431108.

It is not a weakly prime, because it can be changed into another prime (301134431167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150567215568 + 150567215569.

It is an arithmetic number, because the mean of its divisors is an integer number (150567215569).

Almost surely, 2301134431137 is an apocalyptic number.

It is an amenable number.

301134431137 is a deficient number, since it is larger than the sum of its proper divisors (1).

301134431137 is an equidigital number, since it uses as much as digits as its factorization.

301134431137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 301134431137 in words is "three hundred one billion, one hundred thirty-four million, four hundred thirty-one thousand, one hundred thirty-seven".