Search a number
-
+
11020010222100 = 2235211101279711821
BaseRepresentation
bin1010000001011100101111…
…0010110111001000010100
31110000111120110102021122110
42200113023302313020110
52421022440104101400
635234304532031020
72215112061233265
oct240271362671024
943014513367573
1011020010222100
11356961852aa50
12129b903162470
1361c24ac6a669
142a152ad5c96c
151419c8293e50
hexa05cbcb7214

11020010222100 has 288 divisors, whose sum is σ = 35143078948992. Its totient is φ = 2643897600000.

The previous prime is 11020010222099. The next prime is 11020010222159. The reversal of 11020010222100 is 122201002011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 932234190 + ... + 932246010.

It is an arithmetic number, because the mean of its divisors is an integer number (122024579684).

Almost surely, 211020010222100 is an apocalyptic number.

11020010222100 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 11020010222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17571539474496).

11020010222100 is an abundant number, since it is smaller than the sum of its proper divisors (24123068726892).

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

11020010222100 is a wasteful number, since it uses less digits than its factorization.

11020010222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14747 (or 14740 counting only the distinct ones).

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

Adding to 11020010222100 its reverse (122201002011), we get a palindrome (11142211224111).

The spelling of 11020010222100 in words is "eleven trillion, twenty billion, ten million, two hundred twenty-two thousand, one hundred".