Search a number
-
+
306343077131 = 71319177799707
BaseRepresentation
bin1000111010100110111…
…10000110010100001011
31002021201120112201202202
410131103132012110023
520004342311432011
6352422043150415
731063316122520
oct4352336062413
91067646481682
10306343077131
11108a12754003
124b45581540b
1322b70cc87a0
1410b81739147
157e7e4b423b
hex475378650b

306343077131 has 32 divisors (see below), whose sum is σ = 397109045760. Its totient is φ = 229492901376.

The previous prime is 306343077043. The next prime is 306343077137. The reversal of 306343077131 is 131770343603.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 306343077131 - 222 = 306338882827 is a prime.

It is a super-2 number, since 2×3063430771312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (306343077137) 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 31 ways as a sum of consecutive naturals, for example, 3022580 + ... + 3122286.

It is an arithmetic number, because the mean of its divisors is an integer number (12409657680).

Almost surely, 2306343077131 is an apocalyptic number.

306343077131 is a deficient number, since it is larger than the sum of its proper divisors (90765968629).

306343077131 is a wasteful number, since it uses less digits than its factorization.

306343077131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101523.

The product of its (nonzero) digits is 95256, while the sum is 38.

The spelling of 306343077131 in words is "three hundred six billion, three hundred forty-three million, seventy-seven thousand, one hundred thirty-one".

Divisors: 1 7 13 19 91 133 247 1729 1777 12439 23101 33763 99707 161707 236341 438919 697949 1296191 1894433 3072433 9073337 13261031 24627629 172393403 177179339 1240255373 2303331407 3366407441 16123319849 23564852087 43763296733 306343077131