Search a number
-
+
30321132112323 = 331386384991773
BaseRepresentation
bin1101110010011101100000…
…10011110000100111000011
310222100200010211102022122000
412321032300103300213003
512433240134310043243
6144253200310515043
76246425630325513
oct671166023604703
9128320124368560
1030321132112323
119730135675098
123498531965a83
1313bc36935aa20
1476b79ccb1843
15378ac77ce5d3
hex1b93b04f09c3

30321132112323 has 16 divisors (see below), whose sum is σ = 48375595393440. Its totient is φ = 18659158222752.

The previous prime is 30321132112303. The next prime is 30321132112331. The reversal of 30321132112323 is 32321123112303.

30321132112323 is a `hidden beast` number, since 3 + 0 + 3 + 2 + 1 + 1 + 321 + 12 + 323 = 666.

It is not a de Polignac number, because 30321132112323 - 212 = 30321132108227 is a prime.

It is a super-3 number, since 3×303211321123233 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30321132112303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43192495536 + ... + 43192496237.

It is an arithmetic number, because the mean of its divisors is an integer number (3023474712090).

Almost surely, 230321132112323 is an apocalyptic number.

30321132112323 is a deficient number, since it is larger than the sum of its proper divisors (18054463281117).

30321132112323 is a wasteful number, since it uses less digits than its factorization.

30321132112323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86384991795 (or 86384991789 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 30321132112323 its reverse (32321123112303), we get a palindrome (62642255224626).

The spelling of 30321132112323 in words is "thirty trillion, three hundred twenty-one billion, one hundred thirty-two million, one hundred twelve thousand, three hundred twenty-three".

Divisors: 1 3 9 13 27 39 117 351 86384991773 259154975319 777464925957 1123004893049 2332394777871 3369014679147 10107044037441 30321132112323