Search a number
-
+
30311322133131 = 32132191048870969
BaseRepresentation
bin1101110010001011001111…
…00101101010001010001011
310222022201211011012202001100
412321011213211222022023
512433110041431230011
6144244455032552443
76245630551016214
oct671054745521213
9128281734182040
1030311322133131
119726a61147576
123496654552723
1313bb464b42600
1476b10c09440b
15378701458d56
hex1b916796a28b

30311322133131 has 36 divisors (see below), whose sum is σ = 49905280752600. Its totient is φ = 17671378068864.

The previous prime is 30311322133123. The next prime is 30311322133189. The reversal of 30311322133131 is 13133122311303.

30311322133131 is a `hidden beast` number, since 3 + 0 + 3 + 1 + 1 + 322 + 1 + 331 + 3 + 1 = 666.

It is not a de Polignac number, because 30311322133131 - 23 = 30311322133123 is a prime.

It is a super-2 number, since 2×303113221331312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30311322133095 and 30311322133104.

It is not an unprimeable number, because it can be changed into a prime (30311322133531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524406586 + ... + 524464383.

Almost surely, 230311322133131 is an apocalyptic number.

30311322133131 is a deficient number, since it is larger than the sum of its proper divisors (19593958619469).

30311322133131 is a wasteful number, since it uses less digits than its factorization.

30311322133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048871020 (or 1048871004 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 30311322133131 its reverse (13133122311303), we get a palindrome (43444444444434).

The spelling of 30311322133131 in words is "thirty trillion, three hundred eleven billion, three hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 13 19 39 57 117 169 171 247 507 741 1521 2223 3211 9633 28899 1048870969 3146612907 9439838721 13635322597 19928548411 40905967791 59785645233 122717903373 177259193761 179356935699 259071129343 531777581283 777213388029 1595332743849 2331640164087 3367924681459 10103774044377 30311322133131