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120104010 = 232513102653
BaseRepresentation
bin1110010100010…
…10010001001010
322100222220201200
413022022101022
5221221312020
615530125030
72655603315
oct712122112
9270886650
10120104010
1161882a14
1234280776
131bb62380
1411d4597c
15a826590
hex728a44a

120104010 has 48 divisors (see below), whose sum is σ = 336294504. Its totient is φ = 29563776.

The previous prime is 120104003. The next prime is 120104011. The reversal of 120104010 is 10401021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 81054009 + 39050001 = 9003^2 + 6249^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 120103983 and 120104001.

It is not an unprimeable number, because it can be changed into a prime (120104011) 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, 50157 + ... + 52496.

Almost surely, 2120104010 is an apocalyptic number.

120104010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120104010 is an abundant number, since it is smaller than the sum of its proper divisors (216190494).

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

120104010 is a wasteful number, since it uses less digits than its factorization.

120104010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102679 (or 102676 counting only the distinct ones).

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

The square root of 120104010 is about 10959.1975071170. The cubic root of 120104010 is about 493.3848796679.

Adding to 120104010 its reverse (10401021), we get a palindrome (130505031).

The spelling of 120104010 in words is "one hundred twenty million, one hundred four thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 102653 205306 307959 513265 615918 923877 1026530 1334489 1539795 1847754 2668978 3079590 4003467 4619385 6672445 8006934 9238770 12010401 13344890 20017335 24020802 40034670 60052005 120104010