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101222130 = 2353123511
BaseRepresentation
bin1100000100010…
…00011011110010
321001110121122210
412002020123302
5201403102010
614013312550
72336242152
oct602103362
9231417583
10101222130
1152156759
1229a95756
1317c80b69
14d62c762
158d46b20
hex60886f2

101222130 has 48 divisors (see below), whose sum is σ = 251093952. Its totient is φ = 26114400.

The previous prime is 101222113. The next prime is 101222137. The reversal of 101222130 is 31222101.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101222137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27075 + ... + 30585.

It is an arithmetic number, because the mean of its divisors is an integer number (5231124).

Almost surely, 2101222130 is an apocalyptic number.

101222130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125546976).

101222130 is an abundant number, since it is smaller than the sum of its proper divisors (149871822).

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

101222130 is a wasteful number, since it uses less digits than its factorization.

101222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101222130 is about 10060.9209320022. The cubic root of 101222130 is about 466.0421072428.

Adding to 101222130 its reverse (31222101), we get a palindrome (132444231).

The spelling of 101222130 in words is "one hundred one million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 961 1922 2883 3511 4805 5766 7022 9610 10533 14415 17555 21066 28830 35110 52665 105330 108841 217682 326523 544205 653046 1088410 1632615 3265230 3374071 6748142 10122213 16870355 20244426 33740710 50611065 101222130