Search a number
-
+
220211011020 = 22357111347181431
BaseRepresentation
bin1100110100010110011…
…0010101110111001100
3210001101212212102110010
43031011212111313030
512101443004323040
6245055154113220
721624014465250
oct3150546256714
9701355772403
10220211011020
11854334139a0
123681827b810
13179c5637bb0
14a930414260
155adc9c1e80
hex3345995dcc

220211011020 has 768 divisors, whose sum is σ = 852128169984. Its totient is φ = 41015808000.

The previous prime is 220211011019. The next prime is 220211011021. The reversal of 220211011020 is 20110112022.

It is an interprime number because it is at equal distance from previous prime (220211011019) and next prime (220211011021).

It is a super-2 number, since 2×2202110110202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 220211010987 and 220211011005.

It is not an unprimeable number, because it can be changed into a prime (220211011021) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 510930205 + ... + 510930635.

It is an arithmetic number, because the mean of its divisors is an integer number (1109541888).

Almost surely, 2220211011020 is an apocalyptic number.

220211011020 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 220211011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426064084992).

220211011020 is an abundant number, since it is smaller than the sum of its proper divisors (631917158964).

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

220211011020 is a wasteful number, since it uses less digits than its factorization.

220211011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 700 counting only the distinct ones).

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

Adding to 220211011020 its reverse (20110112022), we get a palindrome (240321123042).

The spelling of 220211011020 in words is "two hundred twenty billion, two hundred eleven million, eleven thousand, twenty".