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2100219 = 311312053
BaseRepresentation
bin1000000000101111111011
310221200221220
420000233323
51014201334
6113003123
723565042
oct10005773
93850856
102100219
111204a20
128534a3
13586c44
143c9559
152b7449
hex200bfb

2100219 has 16 divisors (see below), whose sum is σ = 3154944. Its totient is φ = 1231200.

The previous prime is 2100193. The next prime is 2100221. The reversal of 2100219 is 9120012.

It is a happy number.

2100219 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2100219 - 28 = 2099963 is a prime.

It is a super-2 number, since 2×21002192 = 8821839695922, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2100198 and 2100207.

It is not an unprimeable number, because it can be changed into a prime (2100229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4 + ... + 2049.

It is an arithmetic number, because the mean of its divisors is an integer number (197184).

22100219 is an apocalyptic number.

2100219 is a deficient number, since it is larger than the sum of its proper divisors (1054725).

2100219 is a wasteful number, since it uses less digits than its factorization.

2100219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2100219 is about 1449.2132348278. The cubic root of 2100219 is about 128.0623678811.

The spelling of 2100219 in words is "two million, one hundred thousand, two hundred nineteen".

Divisors: 1 3 11 31 33 93 341 1023 2053 6159 22583 63643 67749 190929 700073 2100219