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2100231 = 327173753
BaseRepresentation
bin1000000000110000000111
310221200222100
420000300013
51014201411
6113003143
723565060
oct10006007
93850870
102100231
111204a31
128534b3
13586c53
143c9567
152b7456
hex200c07

2100231 has 48 divisors (see below), whose sum is σ = 3841344. Its totient is φ = 1078272.

The previous prime is 2100229. The next prime is 2100239. The reversal of 2100231 is 1320012.

It is a happy number.

It is not a de Polignac number, because 2100231 - 21 = 2100229 is a prime.

It is a super-2 number, since 2×21002312 = 8821940506722, which contains 22 as substring.

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

2100231 is a modest number, since divided by 231 gives 210 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39601 + ... + 39653.

It is an arithmetic number, because the mean of its divisors is an integer number (80028).

22100231 is an apocalyptic number.

2100231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2100231 is a deficient number, since it is larger than the sum of its proper divisors (1741113).

2100231 is a wasteful number, since it uses less digits than its factorization.

2100231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2100231 is about 1449.2173749993. The cubic root of 2100231 is about 128.0626117835.

Adding to 2100231 its reverse (1320012), we get a palindrome (3420243).

The spelling of 2100231 in words is "two million, one hundred thousand, two hundred thirty-one".

Divisors: 1 3 7 9 17 21 37 51 53 63 111 119 153 159 259 333 357 371 477 629 777 901 1071 1113 1887 1961 2331 2703 3339 4403 5661 5883 6307 8109 13209 13727 17649 18921 33337 39627 41181 56763 100011 123543 233359 300033 700077 2100231