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2100189 = 37313157
BaseRepresentation
bin1000000000101111011101
310221200220210
420000233131
51014201224
6113003033
723565000
oct10005735
93850823
102100189
1112049a3
12853479
13586c20
143c9537
152b7429
hex200bdd

2100189 has 32 divisors (see below), whose sum is σ = 3539200. Its totient is φ = 1100736.

The previous prime is 2100181. The next prime is 2100191. The reversal of 2100189 is 9810012.

It is not a de Polignac number, because 2100189 - 23 = 2100181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

2100189 is a modest number, since divided by 189 gives 21 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13299 + ... + 13455.

It is an arithmetic number, because the mean of its divisors is an integer number (110600).

22100189 is an apocalyptic number.

It is an amenable number.

2100189 is a deficient number, since it is larger than the sum of its proper divisors (1439011).

2100189 is a wasteful number, since it uses less digits than its factorization.

2100189 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 2100189 is about 1449.2028843471. The cubic root of 2100189 is about 128.0617581210.

It can be divided in two parts, 2100 and 189, that multiplied together give a square (396900 = 6302).

The spelling of 2100189 in words is "two million, one hundred thousand, one hundred eighty-nine".

Divisors: 1 3 7 13 21 39 49 91 147 157 273 343 471 637 1029 1099 1911 2041 3297 4459 6123 7693 13377 14287 23079 42861 53851 100009 161553 300027 700063 2100189