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120202120010 = 2572292291689
BaseRepresentation
bin110111111110010011…
…0101100101101001010
3102111021002111101000202
41233330212230231022
53432133220320020
6131115312332202
711453502106400
oct1577446545512
9374232441022
10120202120010
1146a82a65955
121b367544062
13b4480345cb
145b6411b470
1531d7acce75
hex1bfc9acb4a

120202120010 has 72 divisors (see below), whose sum is σ = 260667601740. Its totient is φ = 39790910208.

The previous prime is 120202119949. The next prime is 120202120057. The reversal of 120202120010 is 10021202021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 36100380001 + 84101740009 = 190001^2 + 290003^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120202119973 and 120202120000.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266246 + ... + 557934.

Almost surely, 2120202120010 is an apocalyptic number.

120202120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120202120010 is an abundant number, since it is smaller than the sum of its proper divisors (140465481730).

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

120202120010 is a wasteful number, since it uses less digits than its factorization.

120202120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291768 (or 291732 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120202120010 its reverse (10021202021), we get a palindrome (130223322031).

The spelling of 120202120010 in words is "one hundred twenty billion, two hundred two million, one hundred twenty thousand, ten".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 203 245 290 406 490 841 1015 1421 1682 2030 2842 4205 5887 7105 8410 11774 14210 29435 41209 58870 82418 206045 291689 412090 583378 1458445 2041823 2916890 4083646 8458981 10209115 14292761 16917962 20418230 28585522 42294905 59212867 71463805 84589810 118425734 142927610 245310449 296064335 414490069 490620898 592128670 828980138 1226552245 1717173143 2072450345 2453104490 3434346286 4144900690 8585865715 12020212001 17171731430 24040424002 60101060005 120202120010