Search a number
-
+
211443100000 = 255511211911
BaseRepresentation
bin1100010011101011111…
…1011010100101100000
3202012202211111101122221
43010322333122211200
511431013413200000
6241045143240424
721163520460406
oct3047277324540
9665684441587
10211443100000
1181744132640
1234b8ba49114
1316c28c98972
14a33bb75476
155777d8c61a
hex313afda960

211443100000 has 288 divisors, whose sum is σ = 570932457984. Its totient is φ = 76440000000.

The previous prime is 211443099983. The next prime is 211443100013. The reversal of 211443100000 is 1344112.

It is a super-2 number, since 2×2114431000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232099545 + ... + 232100455.

It is an arithmetic number, because the mean of its divisors is an integer number (1982404368).

Almost surely, 2211443100000 is an apocalyptic number.

211443100000 is a gapful number since it is divisible by the number (20) 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 211443100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285466228992).

211443100000 is an abundant number, since it is smaller than the sum of its proper divisors (359489357984).

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

211443100000 is an equidigital number, since it uses as much as digits as its factorization.

211443100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 211443100000 its reverse (1344112), we get a palindrome (211444444112).

The spelling of 211443100000 in words is "two hundred eleven billion, four hundred forty-three million, one hundred thousand".