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1012002020020 = 225291744831069
BaseRepresentation
bin11101011101000000000…
…01010101101010110100
310120202011011100012210001
432232200001111222310
5113040040004120040
62052523551241044
7133054232145025
oct16564001255264
93522134305701
101012002020020
11360207837202
12144171519184
137457b989934
1436da442cc4c
151b4d028559a
hexeba0055ab4

1012002020020 has 24 divisors (see below), whose sum is σ = 2198487148200. Its totient is φ = 390842159232.

The previous prime is 1012002020017. The next prime is 1012002020077. The reversal of 1012002020020 is 200202002101.

It can be written as a sum of positive squares in 4 ways, for example, as 146871364644 + 865130655376 = 383238^2 + 930124^2 .

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 = 1012002019979 and 1012002020006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 872414955 + ... + 872416114.

It is an arithmetic number, because the mean of its divisors is an integer number (91603631175).

Almost surely, 21012002020020 is an apocalyptic number.

1012002020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012002020020 is an abundant number, since it is smaller than the sum of its proper divisors (1186485128180).

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

1012002020020 is a wasteful number, since it uses less digits than its factorization.

1012002020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744831107 (or 1744831105 counting only the distinct ones).

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

Adding to 1012002020020 its reverse (200202002101), we get a palindrome (1212204022121).

The spelling of 1012002020020 in words is "one trillion, twelve billion, two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1744831069 3489662138 6979324276 8724155345 17448310690 34896621380 50600101001 101200202002 202400404004 253000505005 506001010010 1012002020020