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101210144 = 257451831
BaseRepresentation
bin1100000100001…
…01100000100000
321001110000012212
412002011200200
5201402211034
614013141252
72336162210
oct602054040
9231400185
10101210144
1152148752
1229a8a828
1317c78579
14d628240
158d432ce
hex6085820

101210144 has 24 divisors (see below), whose sum is σ = 227723328. Its totient is φ = 43375680.

The previous prime is 101210113. The next prime is 101210147. The reversal of 101210144 is 441012101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (101210147) 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, 225692 + ... + 226139.

It is an arithmetic number, because the mean of its divisors is an integer number (9488472).

Almost surely, 2101210144 is an apocalyptic number.

101210144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101210144 is an abundant number, since it is smaller than the sum of its proper divisors (126513184).

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

101210144 is an equidigital number, since it uses as much as digits as its factorization.

101210144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451848 (or 451840 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 101210144 is about 10060.3252432513. The cubic root of 101210144 is about 466.0237113933.

Adding to 101210144 its reverse (441012101), we get a palindrome (542222245).

The spelling of 101210144 in words is "one hundred one million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 451831 903662 1807324 3162817 3614648 6325634 7229296 12651268 14458592 25302536 50605072 101210144