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1022012020 = 22551100601
BaseRepresentation
bin111100111010101…
…010101001110100
32122020002120221001
4330322222221310
54043113341040
6245225133044
734216646611
oct7472525164
92566076831
101022012020
11484998837
1224632a184
13133976353
1499a3b508
155eacd59a
hex3ceaaa74

1022012020 has 12 divisors (see below), whose sum is σ = 2146225284. Its totient is φ = 408804800.

The previous prime is 1022011973. The next prime is 1022012021. The reversal of 1022012020 is 202102201.

It can be written as a sum of positive squares in 2 ways, for example, as 161645796 + 860366224 = 12714^2 + 29332^2 .

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 = 1022011988 and 1022012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022012021) by changing a digit.

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, 25550281 + ... + 25550320.

It is an arithmetic number, because the mean of its divisors is an integer number (178852107).

Almost surely, 21022012020 is an apocalyptic number.

1022012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022012020 is an abundant number, since it is smaller than the sum of its proper divisors (1124213264).

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

1022012020 is a wasteful number, since it uses less digits than its factorization.

1022012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51100610 (or 51100608 counting only the distinct ones).

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

The square root of 1022012020 is about 31968.9227219185. The cubic root of 1022012020 is about 1007.2841522957.

Adding to 1022012020 its reverse (202102201), we get a palindrome (1224114221).

The spelling of 1022012020 in words is "one billion, twenty-two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 51100601 102201202 204402404 255503005 511006010 1022012020