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101220 = 22357241
BaseRepresentation
bin11000101101100100
312010211220
4120231210
511214340
62100340
7601050
oct305544
9163756
10101220
116a059
124a6b0
13370c2
1428c60
151eed0
hex18b64

101220 has 48 divisors (see below), whose sum is σ = 325248. Its totient is φ = 23040.

The previous prime is 101209. The next prime is 101221. The reversal of 101220 is 22101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 101199 and 101208.

It is not an unprimeable number, because it can be changed into a prime (101221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300 + ... + 540.

It is an arithmetic number, because the mean of its divisors is an integer number (6776).

2101220 is an apocalyptic number.

101220 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 101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162624).

101220 is an abundant number, since it is smaller than the sum of its proper divisors (224028).

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

101220 is a wasteful number, since it uses less digits than its factorization.

101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 101220 is about 318.1509075895. The cubic root of 101220 is about 46.6038838272.

Adding to 101220 its reverse (22101), we get a palindrome (123321).

The spelling of 101220 in words is "one hundred one thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 241 420 482 723 964 1205 1446 1687 2410 2892 3374 3615 4820 5061 6748 7230 8435 10122 14460 16870 20244 25305 33740 50610 101220