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120101200100 = 22527224510449
BaseRepresentation
bin110111111011010010…
…1101110000011100100
3102111000001121002221022
41233312211232003210
53431431401400400
6131101305310312
711451135233300
oct1576645560344
9374001532838
10120101200100
1146a30aa6272
121b339795398
13b43015b19b
145b5496ad00
1531cdce5b85
hex1bf696e0e4

120101200100 has 54 divisors (see below), whose sum is σ = 303169756050. Its totient is φ = 41177552640.

The previous prime is 120101200069. The next prime is 120101200103. The reversal of 120101200100 is 1002101021.

It can be written as a sum of positive squares in 3 ways, for example, as 17388641956 + 102712558144 = 131866^2 + 320488^2 .

It is not an unprimeable number, because it can be changed into a prime (120101200103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12250325 + ... + 12260124.

Almost surely, 2120101200100 is an apocalyptic number.

120101200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120101200100 is an abundant number, since it is smaller than the sum of its proper divisors (183068555950).

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

120101200100 is a wasteful number, since it uses less digits than its factorization.

120101200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24510477 (or 24510463 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120101200100 its reverse (1002101021), we get a palindrome (121103301121).

The spelling of 120101200100 in words is "one hundred twenty billion, one hundred one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 24510449 49020898 98041796 122552245 171573143 245104490 343146286 490208980 612761225 686292572 857865715 1201012001 1225522450 1715731430 2402024002 2451044900 3431462860 4289328575 4804048004 6005060005 8578657150 12010120010 17157314300 24020240020 30025300025 60050600050 120101200100