Search a number
-
+
120002210010 = 232517194396001
BaseRepresentation
bin110111111000010110…
…0000110100011011010
3102110202011022220001200
41233300230012203122
53431231031210020
6131043411455030
711445523645404
oct1576054064332
9373664286050
10120002210010
1146990134581
121b3105b7476
13b4157ac277
145b4575db74
1531c5290590
hex1bf0b068da

120002210010 has 192 divisors, whose sum is σ = 355837173120. Its totient is φ = 27869184000.

The previous prime is 120002209979. The next prime is 120002210021. The reversal of 120002210010 is 10012200021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120002209974 and 120002210001.

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 95 ways as a sum of consecutive naturals, for example, 1202010 + ... + 1298010.

It is an arithmetic number, because the mean of its divisors is an integer number (1853318610).

Almost surely, 2120002210010 is an apocalyptic number.

120002210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120002210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177918586560).

120002210010 is an abundant number, since it is smaller than the sum of its proper divisors (235834963110).

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

120002210010 is a wasteful number, since it uses less digits than its factorization.

120002210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96093 (or 96090 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120002210010 its reverse (10012200021), we get a palindrome (130014410031).

The spelling of 120002210010 in words is "one hundred twenty billion, two million, two hundred ten thousand, ten".