Search a number
-
+
30311322222231 = 3213125709348789
BaseRepresentation
bin1101110010001011001111…
…00101111111111010010111
310222022201211011101021021100
412321011213211333322113
512433110041442102411
6144244455034521143
76245630551540041
oct671054745777227
9128281734337240
1030311322222231
119726a611a8506
1234966545961b3
1313bb464b7402b
1476b10c0b8a91
15378701475456
hex1b916797fe97

30311322222231 has 12 divisors (see below), whose sum is σ = 44117242523640. Its totient is φ = 20053292054640.

The previous prime is 30311322222191. The next prime is 30311322222277. The reversal of 30311322222231 is 13222222311303.

30311322222231 is a `hidden beast` number, since 3 + 0 + 311 + 322 + 2 + 2 + 2 + 23 + 1 = 666.

It is not a de Polignac number, because 30311322222231 - 211 = 30311322220183 is a prime.

It is a super-3 number, since 3×303113222222313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 30311322222195 and 30311322222204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30311322221231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12854673216 + ... + 12854675573.

It is an arithmetic number, because the mean of its divisors is an integer number (3676436876970).

Almost surely, 230311322222231 is an apocalyptic number.

30311322222231 is a deficient number, since it is larger than the sum of its proper divisors (13805920301409).

30311322222231 is a wasteful number, since it uses less digits than its factorization.

30311322222231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25709348926 (or 25709348923 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 30311322222231 its reverse (13222222311303), we get a palindrome (43533544533534).

The spelling of 30311322222231 in words is "thirty trillion, three hundred eleven billion, three hundred twenty-two million, two hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 131 393 1179 25709348789 77128046367 231384139101 3367924691359 10103774074077 30311322222231