Search a number
-
+
220131013312 = 267173103971
BaseRepresentation
bin1100110100000011010…
…1001011001011000000
3210001012022100010020001
43031000311023023000
512101312014411222
6245043215325344
721622023511630
oct3150065131300
9701168303201
10220131013312
11853a2244491
12367b5520854
13179b1ba8882
14a92394c6c0
155ad596de27
hex3340d4b2c0

220131013312 has 224 divisors, whose sum is σ = 536122229760. Its totient is φ = 87839723520.

The previous prime is 220131013303. The next prime is 220131013343. The reversal of 220131013312 is 213310131022.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 220131013312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226704987 + ... + 226705957.

Almost surely, 2220131013312 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 220131013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268061114880).

220131013312 is an abundant number, since it is smaller than the sum of its proper divisors (315991216448).

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

220131013312 is an equidigital number, since it uses as much as digits as its factorization.

220131013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1100 counting only the distinct ones).

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

Adding to 220131013312 its reverse (213310131022), we get a palindrome (433441144334).

The spelling of 220131013312 in words is "two hundred twenty billion, one hundred thirty-one million, thirteen thousand, three hundred twelve".