Search a number
-
+
11210210000 = 245411223457
BaseRepresentation
bin10100111000010111…
…00011101011010000
31001221020222200010222
422130023203223100
5140424303210000
65052213412212
7544541132663
oct123413435320
931836880128
1011210210000
114832964770
12220a33a068
131098647c72
14784b8d6da
15459263a85
hex29c2e3ad0

11210210000 has 200 divisors, whose sum is σ = 29806258944. Its totient is φ = 4049280000.

The previous prime is 11210209991. The next prime is 11210210017. The reversal of 11210210000 is 1201211.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11210210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24529772 + ... + 24530228.

Almost surely, 211210210000 is an apocalyptic number.

11210210000 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 11210210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14903129472).

11210210000 is an abundant number, since it is smaller than the sum of its proper divisors (18596048944).

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

11210210000 is a wasteful number, since it uses less digits than its factorization.

11210210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11210210000 its reverse (1201211), we get a palindrome (11211411211).

The spelling of 11210210000 in words is "eleven billion, two hundred ten million, two hundred ten thousand".