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2002112020 = 225151662951
BaseRepresentation
bin111011101010101…
…1100111000010100
312011112022211101001
41313111130320110
513100020041040
6530400113044
7100420446166
oct16725347024
95145284331
102002112020
1193815a437
1247a605784
1325ba3678c
1414dc88936
15bab7d59a
hex7755ce14

2002112020 has 24 divisors (see below), whose sum is σ = 4232285568. Its totient is φ = 795540000.

The previous prime is 2002112017. The next prime is 2002112051. The reversal of 2002112020 is 202112002.

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 = 2002111988 and 2002112006.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 328456 + ... + 334495.

It is an arithmetic number, because the mean of its divisors is an integer number (176345232).

Almost surely, 22002112020 is an apocalyptic number.

2002112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002112020 is an abundant number, since it is smaller than the sum of its proper divisors (2230173548).

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

2002112020 is a wasteful number, since it uses less digits than its factorization.

2002112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663111 (or 663109 counting only the distinct ones).

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

The square root of 2002112020 is about 44744.9664208165. The cubic root of 2002112020 is about 1260.3643902835.

Adding to 2002112020 its reverse (202112002), we get a palindrome (2204224022).

It can be divided in two parts, 20021 and 12020, that added together give a square (32041 = 1792).

The spelling of 2002112020 in words is "two billion, two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 151 302 604 755 1510 3020 662951 1325902 2651804 3314755 6629510 13259020 100105601 200211202 400422404 500528005 1001056010 2002112020