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2101120 = 2757267
BaseRepresentation
bin1000000000111110000000
310221202012021
420000332000
51014213440
6113011224
723600500
oct10007600
93852167
102101120
11120566a
12853b14
13587488
143c9a00
152b784a
hex200f80

2101120 has 96 divisors (see below), whose sum is σ = 5930280. Its totient is φ = 709632.

The previous prime is 2101111. The next prime is 2101123. The reversal of 2101120 is 211012.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101123) 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, 31327 + ... + 31393.

22101120 is an apocalyptic number.

2101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965140).

2101120 is an abundant number, since it is smaller than the sum of its proper divisors (3829160).

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

2101120 is an equidigital number, since it uses as much as digits as its factorization.

2101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2101120 is about 1449.5240598210. The cubic root of 2101120 is about 128.0806783045.

Adding to 2101120 its reverse (211012), we get a palindrome (2312132).

The spelling of 2101120 in words is "two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 67 70 80 98 112 128 134 140 160 196 224 245 268 280 320 335 392 448 469 490 536 560 640 670 784 896 938 980 1072 1120 1340 1568 1876 1960 2144 2240 2345 2680 3136 3283 3752 3920 4288 4480 4690 5360 6272 6566 7504 7840 8576 9380 10720 13132 15008 15680 16415 18760 21440 26264 30016 31360 32830 37520 42880 52528 60032 65660 75040 105056 131320 150080 210112 262640 300160 420224 525280 1050560 2101120