Search a number
-
+
100221332233 = 1124611796693
BaseRepresentation
bin101110101010110101…
…0000010101100001001
3100120200121010011222211
41131111222002230021
53120223130112413
6114012510545121
710145402160661
oct1352552025411
9316617104884
10100221332233
113955a369300
121750bb081a1
1395b2625669
144bca5d71a1
1529188a983d
hex1755a82b09

100221332233 has 12 divisors (see below), whose sum is σ = 110399659524. Its totient is φ = 90912615200.

The previous prime is 100221332191. The next prime is 100221332243. The reversal of 100221332233 is 332233122001.

It can be written as a sum of positive squares in 2 ways, for example, as 17054270464 + 83167061769 = 130592^2 + 288387^2 .

It is not a de Polignac number, because 100221332233 - 217 = 100221201161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100221332243) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 842566 + ... + 954127.

It is an arithmetic number, because the mean of its divisors is an integer number (9199971627).

Almost surely, 2100221332233 is an apocalyptic number.

It is an amenable number.

100221332233 is a deficient number, since it is larger than the sum of its proper divisors (10178327291).

100221332233 is a wasteful number, since it uses less digits than its factorization.

100221332233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797176 (or 1797165 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 100221332233 its reverse (332233122001), we get a palindrome (432454454234).

The spelling of 100221332233 in words is "one hundred billion, two hundred twenty-one million, three hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 11 121 461 5071 55781 1796693 19763623 217399853 828275473 9111030203 100221332233