Search a number
-
+
30131323220232 = 2332131223145918041
BaseRepresentation
bin1101101100111011111101…
…10100010011000100001000
310221200112012201111120000200
412312131332310103010020
512422132422221021412
6144030045551332200
76226626164344413
oct666357664230410
9127615181446020
1030131323220232
119667693488123
12346779b221060
1313a74aa4bbb20
1476251449cb7a
15373bb8db79dc
hex1b677ed13108

30131323220232 has 192 divisors, whose sum is σ = 88020047606400. Its totient is φ = 9256733291520.

The previous prime is 30131323220213. The next prime is 30131323220249. The reversal of 30131323220232 is 23202232313103.

30131323220232 is a `hidden beast` number, since 3 + 0 + 1 + 313 + 2 + 322 + 0 + 23 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30131323220196 and 30131323220205.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1670149132 + ... + 1670167172.

It is an arithmetic number, because the mean of its divisors is an integer number (458437747950).

Almost surely, 230131323220232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30131323220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44010023803200).

30131323220232 is an abundant number, since it is smaller than the sum of its proper divisors (57888724386168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30131323220232 is a wasteful number, since it uses less digits than its factorization.

30131323220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20748 (or 20741 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 30131323220232 its reverse (23202232313103), we get a palindrome (53333555533335).

The spelling of 30131323220232 in words is "thirty trillion, one hundred thirty-one billion, three hundred twenty-three million, two hundred twenty thousand, two hundred thirty-two".