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2102121 = 32761547
BaseRepresentation
bin1000000001001101101001
310221210120100
420001031221
51014231441
6113020013
723603430
oct10011551
93853510
102102121
11120639a
12854609
13587a78
143ca117
152b7cb6
hex201369

2102121 has 24 divisors (see below), whose sum is σ = 3533504. Its totient is φ = 1179360.

The previous prime is 2102117. The next prime is 2102137. The reversal of 2102121 is 1212012.

Adding to 2102121 its reverse (1212012), we get a palindrome (3314133).

It is not a de Polignac number, because 2102121 - 22 = 2102117 is a prime.

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

It is a Duffinian number.

2102121 is a modest number, since divided by 2121 gives 210 as remainder.

It is a Curzon number.

2102121 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2102171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3570 + ... + 4116.

22102121 is an apocalyptic number.

2102121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2102121 is a deficient number, since it is larger than the sum of its proper divisors (1431383).

2102121 is a wasteful number, since it uses less digits than its factorization.

2102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2102121 is about 1449.8693044547. The cubic root of 2102121 is about 128.1010148241.

The spelling of 2102121 in words is "two million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 61 63 183 427 547 549 1281 1641 3829 3843 4923 11487 33367 34461 100101 233569 300303 700707 2102121