Search a number
-
+
220111322100000 = 2535513117413217
BaseRepresentation
bin110010000011000010101001…
…001010100011000100100000
31001212100102210111021011211220
4302003002221022203010200
5212322300441424200000
62100045425002335040
764235342516514012
oct6203025112430440
91055312714234756
10220111322100000
1164152762042821
122082b0704ba480
1395a85409449b6
143c4d63289a1b2
151a6a9021261a0
hexc830a92a3120

220111322100000 has 576 divisors, whose sum is σ = 728351302783104. Its totient is φ = 58196736000000.

The previous prime is 220111322099969. The next prime is 220111322100001. The reversal of 220111322100000 is 1223111022.

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 (220111322100001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68421298392 + ... + 68421301608.

It is an arithmetic number, because the mean of its divisors is an integer number (1264498789554).

Almost surely, 2220111322100000 is an apocalyptic number.

220111322100000 is a gapful number since it is divisible by the number (20) 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 220111322100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364175651391552).

220111322100000 is an abundant number, since it is smaller than the sum of its proper divisors (508239980683104).

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

220111322100000 is a wasteful number, since it uses less digits than its factorization.

220111322100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 220111322100000 its reverse (1223111022), we get a palindrome (220112545211022).

The spelling of 220111322100000 in words is "two hundred twenty trillion, one hundred eleven billion, three hundred twenty-two million, one hundred thousand".