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1020001000122 = 232134358978633
BaseRepresentation
bin11101101011111001100…
…11000001101010111010
310121111210121211111122100
432311330303001222322
5113202430224000442
62100325413204230
7133456401306516
oct16657463015272
93544717744570
101020001000122
11363641a78365
12145824330676
1375254c33760
143752290d146
151b7ec62d84c
hexed7ccc1aba

1020001000122 has 24 divisors (see below), whose sum is σ = 2380002334164. Its totient is φ = 313846461504.

The previous prime is 1020001000121. The next prime is 1020001000153. The reversal of 1020001000122 is 2210001000201.

It can be written as a sum of positive squares in 2 ways, for example, as 1015138866681 + 4862133441 = 1007541^2 + 69729^2 .

It is a super-3 number, since 3×10200010001223 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1020001000121) 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 11 ways as a sum of consecutive naturals, for example, 2179489083 + ... + 2179489550.

Almost surely, 21020001000122 is an apocalyptic number.

1020001000122 is an abundant number, since it is smaller than the sum of its proper divisors (1360001334042).

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

1020001000122 is a wasteful number, since it uses less digits than its factorization.

1020001000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358978654 (or 4358978651 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020001000122 its reverse (2210001000201), we get a palindrome (3230002000323).

The spelling of 1020001000122 in words is "one trillion, twenty billion, one million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 4358978633 8717957266 13076935899 26153871798 39230807697 56666722229 78461615394 113333444458 170000166687 340000333374 510000500061 1020001000122