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1000020202020 = 223457149591847
BaseRepresentation
bin11101000110101011101…
…10010101001000100100
310112121020010102210110000
432203111312111020210
5112341020132431040
62043223011301300
7132151301316030
oct16432566251044
93477203383400
101000020202020
11356119373a84
121419888aa830
13733bc51cbb8
1436588dc51c0
151b02d407130
hexe8d5d95224

1000020202020 has 240 divisors, whose sum is σ = 3609325843200. Its totient is φ = 227041595136.

The previous prime is 1000020202003. The next prime is 1000020202033. The reversal of 1000020202020 is 202020200001.

It is a super-2 number, since 2×10000202020202 (a number of 25 digits) contains 22 as substring.

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

1000020202020 is a modest number, since divided by 20202020 gives 10000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1000020201993 and 1000020202011.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1393737 + ... + 1985583.

It is an arithmetic number, because the mean of its divisors is an integer number (15038857680).

Almost surely, 21000020202020 is an apocalyptic number.

1000020202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000020202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804662921600).

1000020202020 is an abundant number, since it is smaller than the sum of its proper divisors (2609305641180).

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

1000020202020 is a wasteful number, since it uses less digits than its factorization.

1000020202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592024 (or 592013 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 1000020202020 its reverse (202020200001), we get a palindrome (1202040402021).

The spelling of 1000020202020 in words is "one trillion, twenty million, two hundred two thousand, twenty".