Search a number
-
+
30118100292 = 223372411271093
BaseRepresentation
bin11100000011001011…
…011011110101000100
32212201222112000112000
4130003023123311010
5443140213202132
621500331225300
72114232425400
oct340313336504
985658460460
1030118100292
1111855978585
125a065a8230
132abc9a5427
141659dcc100
15bb41a687c
hex7032dbd44

30118100292 has 288 divisors, whose sum is σ = 93866250240. Its totient is φ = 8321564160.

The previous prime is 30118100267. The next prime is 30118100321. The reversal of 30118100292 is 29200181103.

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

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 95 ways as a sum of consecutive naturals, for example, 27554898 + ... + 27555990.

It is an arithmetic number, because the mean of its divisors is an integer number (325924480).

Almost surely, 230118100292 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 30118100292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46933125120).

30118100292 is an abundant number, since it is smaller than the sum of its proper divisors (63748149948).

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

30118100292 is a wasteful number, since it uses less digits than its factorization.

30118100292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 30118100292 its reverse (29200181103), we get a palindrome (59318281395).

The spelling of 30118100292 in words is "thirty billion, one hundred eighteen million, one hundred thousand, two hundred ninety-two".