Search a number
-
+
120313032112 = 247131931239587
BaseRepresentation
bin111000000001100110…
…1110010110110110000
3102111112211012021211101
41300003031302312300
53432400114011422
6131134313454144
711456316620320
oct1600315626660
9374484167741
10120313032112
114702a62a849
121b398711354
13b464cc8b80
145b74b4d280
1531e26dac27
hex1c03372db0

120313032112 has 320 divisors, whose sum is σ = 313579929600. Its totient is φ = 43380126720.

The previous prime is 120313032107. The next prime is 120313032157. The reversal of 120313032112 is 211230313021.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 120313032112.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 204962283 + ... + 204962869.

It is an arithmetic number, because the mean of its divisors is an integer number (979937280).

Almost surely, 2120313032112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120313032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156789964800).

120313032112 is an abundant number, since it is smaller than the sum of its proper divisors (193266897488).

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

120313032112 is a wasteful number, since it uses less digits than its factorization.

120313032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 120313032112 its reverse (211230313021), we get a palindrome (331543345133).

The spelling of 120313032112 in words is "one hundred twenty billion, three hundred thirteen million, thirty-two thousand, one hundred twelve".