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120000202120 = 2353000005053
BaseRepresentation
bin110111111000010010…
…0011100010110001000
3102110202000112212202101
41233300210130112020
53431230022431440
6131043300443144
711445500613451
oct1576044342610
9373660485671
10120000202120
1146989a92a67
121b30b9a94b4
13b415258376
145b4539a128
1531c4ee569a
hex1bf091c588

120000202120 has 16 divisors (see below), whose sum is σ = 270000454860. Its totient is φ = 48000080832.

The previous prime is 120000202103. The next prime is 120000202141. The reversal of 120000202120 is 21202000021.

120000202120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 119534764644 + 465437476 = 345738^2 + 21574^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120000202097 and 120000202106.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1500002487 + ... + 1500002566.

Almost surely, 2120000202120 is an apocalyptic number.

120000202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120000202120 is an abundant number, since it is smaller than the sum of its proper divisors (150000252740).

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

120000202120 is a wasteful number, since it uses less digits than its factorization.

120000202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000005064 (or 3000005060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120000202120 its reverse (21202000021), we get a palindrome (141202202141).

The spelling of 120000202120 in words is "one hundred twenty billion, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3000005053 6000010106 12000020212 15000025265 24000040424 30000050530 60000101060 120000202120