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1022012002020 = 2235171001972551
BaseRepresentation
bin11101101111101001010…
…10011000111011100100
310121200222202212222122010
432313310222120323210
5113221040033031040
62101301132034220
7133560260453022
oct16676452307344
93550882788563
101022012002020
113644841498a9
121460a5902970
13754b57606c9
1437673a2d712
151b8b8e65e80
hexedf4a98ee4

1022012002020 has 48 divisors (see below), whose sum is σ = 3029964997248. Its totient is φ = 256504972800.

The previous prime is 1022012002019. The next prime is 1022012002021. The reversal of 1022012002020 is 202002102201.

It is an interprime number because it is at equal distance from previous prime (1022012002019) and next prime (1022012002021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1022012001987 and 1022012002005.

It is not an unprimeable number, because it can be changed into a prime (1022012002021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500985256 + ... + 500987295.

It is an arithmetic number, because the mean of its divisors is an integer number (63124270776).

Almost surely, 21022012002020 is an apocalyptic number.

1022012002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022012002020 is an abundant number, since it is smaller than the sum of its proper divisors (2007952995228).

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

1022012002020 is a wasteful number, since it uses less digits than its factorization.

1022012002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001972580 (or 1001972578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022012002020 its reverse (202002102201), we get a palindrome (1224014104221).

The spelling of 1022012002020 in words is "one trillion, twenty-two billion, twelve million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1001972551 2003945102 3005917653 4007890204 5009862755 6011835306 10019725510 12023670612 15029588265 17033533367 20039451020 30059176530 34067066734 51100600101 60118353060 68134133468 85167666835 102201200202 170335333670 204402400404 255503000505 340670667340 511006001010 1022012002020