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120001020100 = 22521392308477
BaseRepresentation
bin110111111000010011…
…1100100000011000100
3102110202002002102210221
41233300213210003010
53431230230120400
6131043330154124
711445510561313
oct1576047440304
9373662072727
10120001020100
114698a4a1585
121b310122944
13b415483790
145b4553027a
1531c5107c1a
hex1bf09e40c4

120001020100 has 36 divisors (see below), whose sum is σ = 280433156164. Its totient is φ = 44308068480.

The previous prime is 120001020091. The next prime is 120001020103. The reversal of 120001020100 is 1020100021.

It can be written as a sum of positive squares in 6 ways, for example, as 47902325956 + 72098694144 = 218866^2 + 268512^2 .

It is not an unprimeable number, because it can be changed into a prime (120001020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46152939 + ... + 46155538.

Almost surely, 2120001020100 is an apocalyptic number.

120001020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120001020100 is an abundant number, since it is smaller than the sum of its proper divisors (160432136064).

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

120001020100 is a wasteful number, since it uses less digits than its factorization.

120001020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92308504 (or 92308497 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 120001020100 its reverse (1020100021), we get a palindrome (121021120121).

The spelling of 120001020100 in words is "one hundred twenty billion, one million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 92308477 184616954 369233908 461542385 923084770 1200010201 1846169540 2307711925 2400020402 4615423850 4800040804 6000051005 9230847700 12000102010 24000204020 30000255025 60000510050 120001020100