Search a number
-
+
220021001010 = 23252444677789
BaseRepresentation
bin1100110011101001000…
…1100000101100110010
3210000220122022220201100
43030322101200230302
512101100334013020
6245024245345230
721616216436226
oct3147221405462
9700818286640
10220021001010
1185346134628
1236784708216
131799516aa35
14a9130b2786
155acae8ca90
hex333a460b32

220021001010 has 24 divisors (see below), whose sum is σ = 572054602860. Its totient is φ = 58672266912.

The previous prime is 220021000999. The next prime is 220021001027. The reversal of 220021001010 is 10100120022.

It can be written as a sum of positive squares in 2 ways, for example, as 186269064921 + 33751936089 = 431589^2 + 183717^2 .

It is a super-7 number, since 7×2200210010107 (a number of 81 digits) contains 7777777 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 220021000983 and 220021001001.

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 11 ways as a sum of consecutive naturals, for example, 1222338805 + ... + 1222338984.

Almost surely, 2220021001010 is an apocalyptic number.

220021001010 is an abundant number, since it is smaller than the sum of its proper divisors (352033601850).

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

220021001010 is a wasteful number, since it uses less digits than its factorization.

220021001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444677802 (or 2444677799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220021001010 its reverse (10100120022), we get a palindrome (230121121032).

The spelling of 220021001010 in words is "two hundred twenty billion, twenty-one million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2444677789 4889355578 7334033367 12223388945 14668066734 22002100101 24446777890 36670166835 44004200202 73340333670 110010500505 220021001010