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101222144 = 28715569
BaseRepresentation
bin1100000100010…
…00011100000000
321001110121200022
412002020130000
5201403102034
614013313012
72336242202
oct602103400
9231417608
10101222144
1152156771
1229a95768
1317c80b7a
14d62c772
158d46b2e
hex6088700

101222144 has 36 divisors (see below), whose sum is σ = 204931440. Its totient is φ = 49889280.

The previous prime is 101222141. The next prime is 101222159. The reversal of 101222144 is 441222101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15392 + ... + 20960.

It is an arithmetic number, because the mean of its divisors is an integer number (5692540).

Almost surely, 2101222144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102465720).

101222144 is an abundant number, since it is smaller than the sum of its proper divisors (103709296).

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

101222144 is an frugal number, since it uses more digits than its factorization.

101222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 101222144 is about 10060.9216277635. The cubic root of 101222144 is about 466.0421287288.

Adding to 101222144 its reverse (441222101), we get a palindrome (542444245).

The spelling of 101222144 in words is "one hundred one million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 568 1136 2272 4544 5569 9088 11138 18176 22276 44552 89104 178208 356416 395399 712832 790798 1425664 1581596 3163192 6326384 12652768 25305536 50611072 101222144