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101120 = 28579
BaseRepresentation
bin11000101100000000
312010201012
4120230000
511213440
62100052
7600545
oct305400
9163635
10101120
1169a78
124a628
1337046
1428bcc
151ee65
hex18b00

101120 has 36 divisors (see below), whose sum is σ = 245280. Its totient is φ = 39936.

The previous prime is 101119. The next prime is 101141. The reversal of 101120 is 21101.

Adding to 101120 its reverse (21101), we get a palindrome (122221).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1241 + ... + 1319.

2101120 is an apocalyptic number.

101120 is a gapful number since it is divisible by the number (10) 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 101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122640).

101120 is an abundant number, since it is smaller than the sum of its proper divisors (144160).

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

101120 is an frugal number, since it uses more digits than its factorization.

101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 101120 is about 317.9937106296. The cubic root of 101120 is about 46.5885313805.

The spelling of 101120 in words is "one hundred one thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 256 316 320 395 632 640 790 1264 1280 1580 2528 3160 5056 6320 10112 12640 20224 25280 50560 101120