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2101216 = 25135051
BaseRepresentation
bin1000000000111111100000
310221202022211
420000333200
51014214331
6113011504
723600665
oct10007740
93852284
102101216
111205747
12853b94
13587530
143c9a6c
152b78b1
hex200fe0

2101216 has 24 divisors (see below), whose sum is σ = 4455864. Its totient is φ = 969600.

The previous prime is 2101213. The next prime is 2101219. The reversal of 2101216 is 6121012.

It is an interprime number because it is at equal distance from previous prime (2101213) and next prime (2101219).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2101196 and 2101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2110 + ... + 2941.

It is an arithmetic number, because the mean of its divisors is an integer number (185661).

22101216 is an apocalyptic number.

2101216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2101216 is an abundant number, since it is smaller than the sum of its proper divisors (2354648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101216 is a wasteful number, since it uses less digits than its factorization.

2101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5066 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2101216 is about 1449.5571737603. The cubic root of 2101216 is about 128.0826289400.

Adding to 2101216 its reverse (6121012), we get a palindrome (8222228).

The spelling of 2101216 in words is "two million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 5051 10102 20204 40408 65663 80816 131326 161632 262652 525304 1050608 2101216