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1020002120 = 23525500053
BaseRepresentation
bin111100110010111…
…111111101001000
32122002022110212022
4330302333331020
54042110031440
6245114104012
734163606054
oct7462777510
92562273768
101020002120
11483845765
1224571b008
13133421567
1499676c64
155e832cb5
hex3ccbff48

1020002120 has 16 divisors (see below), whose sum is σ = 2295004860. Its totient is φ = 408000832.

The previous prime is 1020002111. The next prime is 1020002143. The reversal of 1020002120 is 212000201.

It can be written as a sum of positive squares in 2 ways, for example, as 1019014084 + 988036 = 31922^2 + 994^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1020002098 and 1020002107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12749987 + ... + 12750066.

Almost surely, 21020002120 is an apocalyptic number.

1020002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020002120 is an abundant number, since it is smaller than the sum of its proper divisors (1275002740).

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

1020002120 is a wasteful number, since it uses less digits than its factorization.

1020002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25500064 (or 25500060 counting only the distinct ones).

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

The square root of 1020002120 is about 31937.4720352128. The cubic root of 1020002120 is about 1006.6234069584.

Adding to 1020002120 its reverse (212000201), we get a palindrome (1232002321).

The spelling of 1020002120 in words is "one billion, twenty million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 25500053 51000106 102000212 127500265 204000424 255000530 510001060 1020002120