Search a number
-
+
11022020100 = 223252713592281
BaseRepresentation
bin10100100001111011…
…01010111000000100
31001110010212122010200
422100331222320010
5140033114120400
65021412050500
7540064424250
oct122075527004
931403778120
1011022020100
114746708923
122177303a30
1310686673b0
14767ba3260
1544798db00
hex290f6ae04

11022020100 has 432 divisors, whose sum is σ = 43260147840. Its totient is φ = 2285107200.

The previous prime is 11022020063. The next prime is 11022020143. The reversal of 11022020100 is 102022011.

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

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, 4830960 + ... + 4833240.

Almost surely, 211022020100 is an apocalyptic number.

11022020100 is a gapful number since it is divisible by the number (10) 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 11022020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21630073920).

11022020100 is an abundant number, since it is smaller than the sum of its proper divisors (32238127740).

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

11022020100 is a wasteful number, since it uses less digits than its factorization.

11022020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2370 counting only the distinct ones).

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

Adding to 11022020100 its reverse (102022011), we get a palindrome (11124042111).

It can be divided in two parts, 1102 and 2020100, that added together give a palindrome (2021202).

The spelling of 11022020100 in words is "eleven billion, twenty-two million, twenty thousand, one hundred".