Search a number
-
+
11020021002 = 234616731657
BaseRepresentation
bin10100100001101100…
…00010110100001010
31001110000010001220000
422100312002310022
5140032111133002
65021301143430
7540041430054
oct122066026412
931400101800
1011020021002
114745572981
1221766bab76
1310681174b3
147678028d4
154476e661c
hex290d82d0a

11020021002 has 80 divisors (see below), whose sum is σ = 25150274952. Its totient is φ = 3605575680.

The previous prime is 11020020953. The next prime is 11020021031. The reversal of 11020021002 is 20012002011.

It can be written as a sum of positive squares in 4 ways, for example, as 4518662841 + 6501358161 = 67221^2 + 80631^2 .

It is a super-4 number, since 4×110200210024 (a number of 41 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6649758 + ... + 6651414.

Almost surely, 211020021002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020021002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12575137476).

11020021002 is an abundant number, since it is smaller than the sum of its proper divisors (14130253950).

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

11020021002 is a wasteful number, since it uses less digits than its factorization.

11020021002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2396 counting only the distinct ones).

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

Adding to 11020021002 its reverse (20012002011), we get a palindrome (31032023013).

The spelling of 11020021002 in words is "eleven billion, twenty million, twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 673 1098 1346 1647 1657 2019 3294 3314 4038 4941 4971 6057 9882 9942 12114 14913 18171 29826 36342 41053 44739 54513 82106 89478 101077 109026 123159 134217 202154 246318 268434 303231 369477 606462 738954 909693 1108431 1115161 1819386 2216862 2230322 2729079 3325293 3345483 5458158 6650586 6690966 8187237 10036449 16374474 20072898 30109347 60218694 68024821 90328041 136049642 180656082 204074463 408148926 612223389 1224446778 1836670167 3673340334 5510010501 11020021002