Search a number
-
+
30210320322 = 232713173179443
BaseRepresentation
bin11100001000101011…
…001110011111000010
32212222102001021121200
4130020223032133002
5443332320222242
621513424002030
72116432325430
oct341053163702
985872037550
1030210320322
11118a2a35886
125a31460316
132b05b239b0
141668355d50
15bbc32104c
hex708ace7c2

30210320322 has 384 divisors, whose sum is σ = 89367183360. Its totient is φ = 7148943360.

The previous prime is 30210320269. The next prime is 30210320381. The reversal of 30210320322 is 22302301203.

It is a happy number.

30210320322 is a `hidden beast` number, since 3 + 0 + 21 + 0 + 320 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30210320295 and 30210320304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68194633 + ... + 68195075.

It is an arithmetic number, because the mean of its divisors is an integer number (232727040).

Almost surely, 230210320322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30210320322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44683591680).

30210320322 is an abundant number, since it is smaller than the sum of its proper divisors (59156863038).

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

30210320322 is a wasteful number, since it uses less digits than its factorization.

30210320322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30210320322 its reverse (22302301203), we get a palindrome (52512621525).

The spelling of 30210320322 in words is "thirty billion, two hundred ten million, three hundred twenty thousand, three hundred twenty-two".