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120220010010 = 23253237741257
BaseRepresentation
bin110111111110110101…
…0111100011000011010
3102111022100011021111100
41233331222330120122
53432202310310020
6131121152012230
711454110140002
oct1577552743032
9374270137440
10120220010010
1146a92074981
121b371531076
13b44b9594c9
145b66657002
1531d9463a90
hex1bfdabc61a

120220010010 has 48 divisors (see below), whose sum is σ = 312589256616. Its totient is φ = 32056902144.

The previous prime is 120220009999. The next prime is 120220010039. The reversal of 120220010010 is 10010022021.

It can be written as a sum of positive squares in 4 ways, for example, as 93891377889 + 26328632121 = 306417^2 + 162261^2 .

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 = 120220009974 and 120220010001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2893302 + ... + 2934558.

Almost surely, 2120220010010 is an apocalyptic number.

120220010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120220010010 is an abundant number, since it is smaller than the sum of its proper divisors (192369246606).

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

120220010010 is a wasteful number, since it uses less digits than its factorization.

120220010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73647 (or 73644 counting only the distinct ones).

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

Adding to 120220010010 its reverse (10010022021), we get a palindrome (130230032031).

The spelling of 120220010010 in words is "one hundred twenty billion, two hundred twenty million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 32377 41257 64754 82514 97131 123771 161885 194262 206285 247542 291393 323770 371313 412570 485655 582786 618855 742626 971310 1237710 1456965 1856565 2913930 3713130 1335777889 2671555778 4007333667 6678889445 8014667334 12022001001 13357778890 20036668335 24044002002 40073336670 60110005005 120220010010