Search a number
-
+
120103110000 = 2432543736067
BaseRepresentation
bin110111111011010110…
…1000000010101110000
3102111000012012010211100
41233312231000111300
53431432344010000
6131101414244400
711451160406436
oct1576655002560
9374005163740
10120103110000
1146a320901a5
121b33a356700
13b4306795c3
145b54d06d56
1531ce071a00
hex1bf6b40570

120103110000 has 300 divisors, whose sum is σ = 431381719912. Its totient is φ = 31161024000.

The previous prime is 120103109999. The next prime is 120103110011. The reversal of 120103110000 is 11301021.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent 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 59 ways as a sum of consecutive naturals, for example, 3311967 + ... + 3348033.

Almost surely, 2120103110000 is an apocalyptic number.

120103110000 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 120103110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215690859956).

120103110000 is an abundant number, since it is smaller than the sum of its proper divisors (311278609912).

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

120103110000 is a wasteful number, since it uses less digits than its factorization.

120103110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36138 (or 36114 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 120103110000 its reverse (11301021), we get a palindrome (120114411021).

The spelling of 120103110000 in words is "one hundred twenty billion, one hundred three million, one hundred ten thousand".