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1022001002020 = 22551100050101
BaseRepresentation
bin11101101111101000000…
…00011011011000100100
310121200222000012010110201
432313310000123120210
5113221024224031040
62101300100200244
7133560065120035
oct16676400333044
93550860163421
101022001002020
11364478a16399
121460a2099084
13754b33ab92b
14376723a8a8c
151b8b7ee1a9a
hexedf401b624

1022001002020 has 12 divisors (see below), whose sum is σ = 2146202104284. Its totient is φ = 408800400800.

The previous prime is 1022001001997. The next prime is 1022001002021. The reversal of 1022001002020 is 202001002201.

It can be written as a sum of positive squares in 2 ways, for example, as 649832678884 + 372168323136 = 806122^2 + 610056^2 .

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 = 1022001001988 and 1022001002006.

It is not an unprimeable number, because it can be changed into a prime (1022001002021) by changing a digit.

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, 25550025031 + ... + 25550025070.

It is an arithmetic number, because the mean of its divisors is an integer number (178850175357).

Almost surely, 21022001002020 is an apocalyptic number.

1022001002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022001002020 is an abundant number, since it is smaller than the sum of its proper divisors (1124201102264).

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

1022001002020 is a wasteful number, since it uses less digits than its factorization.

1022001002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51100050110 (or 51100050108 counting only the distinct ones).

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

Adding to 1022001002020 its reverse (202001002201), we get a palindrome (1224002004221).

The spelling of 1022001002020 in words is "one trillion, twenty-two billion, one million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 51100050101 102200100202 204400200404 255500250505 511000501010 1022001002020