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120120202200100 = 22521577650968293
BaseRepresentation
bin11011010011111110101001…
…111110111000010000100100
3120202022101020102102110211111
4123103332221332320100210
5111221022133230400400
61103250243055114404
734205253406056214
oct3323765176702044
9522271212373744
10120120202200100
1135301767684253
1211580124812a04
13520439548b86b
142193bc51ac244
15dd490724c3ba
hex6d3fa9fb8424

120120202200100 has 36 divisors (see below), whose sum is σ = 262321098928084. Its totient is φ = 47742042142080.

The previous prime is 120120202200041. The next prime is 120120202200109. The reversal of 120120202200100 is 1002202021021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1432076529636 + 118688125670464 = 1196694^2 + 10894408^2 .

It is not an unprimeable number, because it can be changed into a prime (120120202200109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3825468447 + ... + 3825499846.

Almost surely, 2120120202200100 is an apocalyptic number.

120120202200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120202200100 is an abundant number, since it is smaller than the sum of its proper divisors (142200896727984).

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

120120202200100 is a wasteful number, since it uses less digits than its factorization.

120120202200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7650968464 (or 7650968457 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120120202200100 its reverse (1002202021021), we get a palindrome (121122404221121).

The spelling of 120120202200100 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 15700 7650968293 15301936586 30603873172 38254841465 76509682930 153019365860 191274207325 382548414650 765096829300 1201202022001 2402404044002 4804808088004 6006010110005 12012020220010 24024040440020 30030050550025 60060101100050 120120202200100