Search a number
-
+
10001112002020 = 225846159101241
BaseRepresentation
bin1001000110001001000010…
…1110100110110111100100
31022102002121200122210211101
42101202100232212313210
52302324234133031040
633134240351045444
72051361610245556
oct221422056466744
938362550583741
1010001112002020
1132064a1aa6657
121156348210884
1357714064c099
142680b0ab34d6
1512524289a09a
hex91890ba6de4

10001112002020 has 24 divisors (see below), whose sum is σ = 21004817811768. Its totient is φ = 3999971923200.

The previous prime is 10001112001997. The next prime is 10001112002047. The reversal of 10001112002020 is 2020021110001.

It can be written as a sum of positive squares in 4 ways, for example, as 3791486586276 + 6209625415744 = 1947174^2 + 2491912^2 .

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 = 10001112001988 and 10001112002006.

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, 29381401 + ... + 29719840.

It is an arithmetic number, because the mean of its divisors is an integer number (875200742157).

Almost surely, 210001112002020 is an apocalyptic number.

10001112002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001112002020 is an abundant number, since it is smaller than the sum of its proper divisors (11003705809748).

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

10001112002020 is a wasteful number, since it uses less digits than its factorization.

10001112002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59109711 (or 59109709 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10001112002020 its reverse (2020021110001), we get a palindrome (12021133112021).

The spelling of 10001112002020 in words is "ten trillion, one billion, one hundred twelve million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 8461 16922 33844 42305 84610 169220 59101241 118202482 236404964 295506205 591012410 1182024820 500055600101 1000111200202 2000222400404 2500278000505 5000556001010 10001112002020