Search a number
-
+
101122212330 = 23251123580137
BaseRepresentation
bin101111000101101011…
…0101000000111101010
3100200000101021122011100
41132023112220013222
53124044241243310
6114242131542230
710206621423366
oct1361326500752
9320011248140
10101122212330
1139981941907
121772175a976
1396c71697c9
144c741022a6
15296ca0bec0
hex178b5a81ea

101122212330 has 24 divisors (see below), whose sum is σ = 262917752292. Its totient is φ = 26965923264.

The previous prime is 101122212329. The next prime is 101122212341. The reversal of 101122212330 is 33212221101.

101122212330 is a `hidden beast` number, since 1 + 0 + 1 + 122 + 212 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100900887201 + 221325129 = 317649^2 + 14877^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561789979 + ... + 561790158.

Almost surely, 2101122212330 is an apocalyptic number.

101122212330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101122212330 is an abundant number, since it is smaller than the sum of its proper divisors (161795539962).

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

101122212330 is a wasteful number, since it uses less digits than its factorization.

101122212330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123580150 (or 1123580147 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101122212330 its reverse (33212221101), we get a palindrome (134334433431).

The spelling of 101122212330 in words is "one hundred one billion, one hundred twenty-two million, two hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1123580137 2247160274 3370740411 5617900685 6741480822 10112221233 11235801370 16853702055 20224442466 33707404110 50561106165 101122212330