Search a number
-
+
101232222000 = 24353713375011
BaseRepresentation
bin101111001000111101…
…0010001111100110000
3100200022001021201001120
41132101322101330300
53124310422101000
6114301101502240
710212425455320
oct1362172217460
9320261251046
10101232222000
1139a28a4a798
1217752571980
139713ba63a0
144c8497b280
1529774dc6a0
hex1791e91f30

101232222000 has 640 divisors, whose sum is σ = 412628256768. Its totient is φ = 20777472000.

The previous prime is 101232221971. The next prime is 101232222001. The reversal of 101232222000 is 222232101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (101232222001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 20199495 + ... + 20204505.

Almost surely, 2101232222000 is an apocalyptic number.

101232222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101232222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206314128384).

101232222000 is an abundant number, since it is smaller than the sum of its proper divisors (311396034768).

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

101232222000 is a wasteful number, since it uses less digits than its factorization.

101232222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 101232222000 its reverse (222232101), we get a palindrome (101454454101).

The spelling of 101232222000 in words is "one hundred one billion, two hundred thirty-two million, two hundred twenty-two thousand".