Search a number
-
+
11211447000 = 23353131032791
BaseRepresentation
bin10100111000100000…
…10001101011011000
31001221100022111222210
422130100101223120
5140430112301000
65052300115120
7544554504255
oct123420215330
931840274883
1011211447000
11483362a086
12220a835aa0
13109898c010
14784dd242c
1545940a350
hex29c411ad8

11211447000 has 256 divisors, whose sum is σ = 38049822720. Its totient is φ = 2731968000.

The previous prime is 11211446999. The next prime is 11211447001. The reversal of 11211447000 is 74411211.

It is an interprime number because it is at equal distance from previous prime (11211446999) and next prime (11211447001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211447001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4015605 + ... + 4018395.

It is an arithmetic number, because the mean of its divisors is an integer number (148632120).

Almost surely, 211211447000 is an apocalyptic number.

11211447000 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 11211447000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19024911360).

11211447000 is an abundant number, since it is smaller than the sum of its proper divisors (26838375720).

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

11211447000 is a wasteful number, since it uses less digits than its factorization.

11211447000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

Adding to 11211447000 its reverse (74411211), we get a palindrome (11285858211).

The spelling of 11211447000 in words is "eleven billion, two hundred eleven million, four hundred forty-seven thousand".