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101212120 = 2352838941
BaseRepresentation
bin1100000100001…
…01111111011000
321001110002221001
412002011333120
5201402241440
614013154344
72336201032
oct602057730
9231402831
10101212120
115214a189
1229a8b9b4
1317c79439
14d628c52
158d43b9a
hex6085fd8

101212120 has 32 divisors (see below), whose sum is σ = 228557520. Its totient is φ = 40337280.

The previous prime is 101212087. The next prime is 101212127. The reversal of 101212120 is 21212101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101212097 and 101212106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6850 + ... + 15790.

Almost surely, 2101212120 is an apocalyptic number.

101212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212120 is an abundant number, since it is smaller than the sum of its proper divisors (127345400).

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

101212120 is a wasteful number, since it uses less digits than its factorization.

101212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9235 (or 9231 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 101212120 is about 10060.4234503325. The cubic root of 101212120 is about 466.0267442147.

Adding to 101212120 its reverse (21212101), we get a palindrome (122424221).

The spelling of 101212120 in words is "one hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 283 566 1132 1415 2264 2830 5660 8941 11320 17882 35764 44705 71528 89410 178820 357640 2530303 5060606 10121212 12651515 20242424 25303030 50606060 101212120