Search a number
-
+
220220101001100 = 2235217243173341447
BaseRepresentation
bin110010000100100111111100…
…111001000111111110001100
31001212201211120110221220102210
4302010213330321013332030
5212331041231324013400
62100211415011550420
764246243253102244
oct6204477471077614
91055654513856383
10220220101001100
1164194902986192
122084816a2bb410
1395b5888170a75
143c549d181ab24
151a6d66be16950
hexc849fce47f8c

220220101001100 has 432 divisors, whose sum is σ = 696601810130688. Its totient is φ = 53673344471040.

The previous prime is 220220101001051. The next prime is 220220101001177. The reversal of 220220101001100 is 1100101022022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 644790577 + ... + 645132023.

Almost surely, 2220220101001100 is an apocalyptic number.

220220101001100 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 220220101001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348300905065344).

220220101001100 is an abundant number, since it is smaller than the sum of its proper divisors (476381709129588).

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

220220101001100 is a wasteful number, since it uses less digits than its factorization.

220220101001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341714 (or 341690 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220220101001100 its reverse (1100101022022), we get a palindrome (221320202023122).

The spelling of 220220101001100 in words is "two hundred twenty trillion, two hundred twenty billion, one hundred one million, one thousand, one hundred".