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211401100 = 22525339887
BaseRepresentation
bin11001001100110…
…11100110001100
3112201210021210101
430212123212030
5413104313400
632551020444
75144610511
oct1446334614
9481707711
10211401100
11a936a859
125a96a724
1334a49811
142010d308
151385c56a
hexc99b98c

211401100 has 36 divisors (see below), whose sum is σ = 467407584. Its totient is φ = 82962880.

The previous prime is 211401089. The next prime is 211401109. The reversal of 211401100 is 1104112.

211401100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (211401109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14644 + ... + 25243.

It is an arithmetic number, because the mean of its divisors is an integer number (12983544).

Almost surely, 2211401100 is an apocalyptic number.

211401100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211401100 is an abundant number, since it is smaller than the sum of its proper divisors (256006484).

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

211401100 is a wasteful number, since it uses less digits than its factorization.

211401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39954 (or 39947 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 211401100 is about 14539.6389226143. The cubic root of 211401100 is about 595.7111756133.

Adding to 211401100 its reverse (1104112), we get a palindrome (212505212).

The spelling of 211401100 in words is "two hundred eleven million, four hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 39887 79774 159548 199435 398870 797740 997175 1994350 2114011 3988700 4228022 8456044 10570055 21140110 42280220 52850275 105700550 211401100