Search a number
-
+
1001020002020 = 2251271195332971
BaseRepresentation
bin11101001000100010111…
…00010000111011100100
310112200210210201220012122
432210101130100323210
5112400042110031040
62043510124405112
7132215131424603
oct16442134207344
93480723656178
101001020002020
11356591770575
121420076a6798
137351b6ba02c
1436641abda3a
151b08b0991b5
hexe911710ee4

1001020002020 has 48 divisors (see below), whose sum is σ = 2118935820288. Its totient is φ = 397209899520.

The previous prime is 1001020002007. The next prime is 1001020002023. The reversal of 1001020002020 is 202000201001.

It is a junction number, because it is equal to n+sod(n) for n = 1001020001989 and 1001020002007.

It is not an unprimeable number, because it can be changed into a prime (1001020002023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30344135 + ... + 30377105.

It is an arithmetic number, because the mean of its divisors is an integer number (44144496256).

Almost surely, 21001020002020 is an apocalyptic number.

1001020002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001020002020 is an abundant number, since it is smaller than the sum of its proper divisors (1117915818268).

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

1001020002020 is a wasteful number, since it uses less digits than its factorization.

1001020002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45060 (or 45058 counting only the distinct ones).

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

Adding to 1001020002020 its reverse (202000201001), we get a palindrome (1203020203021).

The spelling of 1001020002020 in words is "one trillion, one billion, twenty million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 127 254 508 635 1270 2540 11953 23906 32971 47812 59765 65942 119530 131884 164855 239060 329710 659420 1518031 3036062 4187317 6072124 7590155 8374634 15180310 16749268 20936585 30360620 41873170 83746340 394102363 788204726 1576409452 1970511815 3941023630 7882047260 50051000101 100102000202 200204000404 250255000505 500510001010 1001020002020