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2101319 = 11172661
BaseRepresentation
bin1000000001000001000111
310221202110122
420001001013
51014220234
6113012155
723601203
oct10010107
93852418
102101319
111205830
1285405b
135875ac
143c9b03
152b792e
hex201047

2101319 has 12 divisors (see below), whose sum is σ = 2438808. Its totient is φ = 1795200.

The previous prime is 2101313. The next prime is 2101327. The reversal of 2101319 is 9131012.

It is a happy number.

It is not a de Polignac number, because 2101319 - 212 = 2097223 is a prime.

It is a super-2 number, since 2×21013192 = 8831083079522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101297 and 2101306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101313) 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, 2849 + ... + 3509.

It is an arithmetic number, because the mean of its divisors is an integer number (203234).

22101319 is an apocalyptic number.

2101319 is a deficient number, since it is larger than the sum of its proper divisors (337489).

2101319 is a wasteful number, since it uses less digits than its factorization.

2101319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 2101319 is about 1449.5927014165. The cubic root of 2101319 is about 128.0847217433.

The spelling of 2101319 in words is "two million, one hundred one thousand, three hundred nineteen".

Divisors: 1 11 17 187 289 661 3179 7271 11237 123607 191029 2101319