Search a number
-
+
1102100020200 = 2332524717777331
BaseRepresentation
bin10000000010011010010…
…001111011101111101000
310220100201020121211212200
4100002122101323233220
5121024100101121300
62202144152140200
7142424031414264
oct20023221735750
93810636554780
101102100020200
11395441803283
12159717097660
137cc09ba238a
143b4b035b0a4
151da0501e200
hex1009a47bbe8

1102100020200 has 288 divisors, whose sum is σ = 3782611647360. Its totient is φ = 287439206400.

The previous prime is 1102100020169. The next prime is 1102100020243. The reversal of 1102100020200 is 20200012011.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150330535 + ... + 150337865.

It is an arithmetic number, because the mean of its divisors is an integer number (13134068220).

Almost surely, 21102100020200 is an apocalyptic number.

1102100020200 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 1102100020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891305823680).

1102100020200 is an abundant number, since it is smaller than the sum of its proper divisors (2680511627160).

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

1102100020200 is a wasteful number, since it uses less digits than its factorization.

1102100020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9177 (or 9165 counting only the distinct ones).

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

Adding to 1102100020200 its reverse (20200012011), we get a palindrome (1122300032211).

The spelling of 1102100020200 in words is "one trillion, one hundred two billion, one hundred million, twenty thousand, two hundred".