Search a number
-
+
11210020101000 = 23325371071662961
BaseRepresentation
bin1010001100100000100101…
…0001000001101110001000
31110200200000120112020022200
42203020021101001232020
52432131110121213000
635501451231120200
72234616514451640
oct243101121015610
943620016466280
1011210020101000
113632163114316
1213106b1073060
1363413c64aa76
142aa7d432d520
151468e965c500
hexa3209441b88

11210020101000 has 384 divisors, whose sum is σ = 43707430690560. Its totient is φ = 2538342144000.

The previous prime is 11210020100999. The next prime is 11210020101043. The reversal of 11210020101000 is 10102001211.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 5909520 + ... + 7572480.

It is an arithmetic number, because the mean of its divisors is an integer number (113821434090).

Almost surely, 211210020101000 is an apocalyptic number.

11210020101000 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 11210020101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21853715345280).

11210020101000 is an abundant number, since it is smaller than the sum of its proper divisors (32497410589560).

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

11210020101000 is a wasteful number, since it uses less digits than its factorization.

11210020101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663102 (or 1663085 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11210020101000 its reverse (10102001211), we get a palindrome (11220122102211).

The spelling of 11210020101000 in words is "eleven trillion, two hundred ten billion, twenty million, one hundred one thousand".