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101120220 = 223253371667
BaseRepresentation
bin1100000011011…
…11100011011100
321001021102212100
412001233203130
5201341321340
614011205100
72335336065
oct601574334
9231242770
10101120220
1152097133
1229a46790
1317c46666
14d60356c
158d26830
hex606f8dc

101120220 has 72 divisors (see below), whose sum is σ = 307826064. Its totient is φ = 26869248.

The previous prime is 101120177. The next prime is 101120221. The reversal of 101120220 is 22021101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120221) 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, 59827 + ... + 61493.

It is an arithmetic number, because the mean of its divisors is an integer number (4275362).

Almost surely, 2101120220 is an apocalyptic number.

101120220 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 101120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153913032).

101120220 is an abundant number, since it is smaller than the sum of its proper divisors (206705844).

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

101120220 is a wasteful number, since it uses less digits than its factorization.

101120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2014 counting only the distinct ones).

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

The square root of 101120220 is about 10055.8550108879. The cubic root of 101120220 is about 465.8856516696.

Adding to 101120220 its reverse (22021101), we get a palindrome (123141321).

The spelling of 101120220 in words is "one hundred one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 337 674 1011 1348 1667 1685 2022 3033 3334 3370 4044 5001 5055 6066 6668 6740 8335 10002 10110 12132 15003 15165 16670 20004 20220 25005 30006 30330 33340 50010 60012 60660 75015 100020 150030 300060 561779 1123558 1685337 2247116 2808895 3370674 5056011 5617790 6741348 8426685 10112022 11235580 16853370 20224044 25280055 33706740 50560110 101120220