Search a number
-
+
1021120002020 = 225106162477703
BaseRepresentation
bin11101101101111110111…
…11101011011111100100
310121121200121102200200002
432312333133223133210
5113212223210031040
62101032425240432
7133526206543646
oct16667737533744
93547617380602
101021120002020
11364066691018
12145a97033118
13753a2a08461
14375cb396896
151b8659b9a15
hexedbf7eb7e4

1021120002020 has 48 divisors (see below), whose sum is σ = 2146995341568. Its totient is φ = 407944748160.

The previous prime is 1021120001999. The next prime is 1021120002029. The reversal of 1021120002020 is 202000211201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1021120001992 and 1021120002010.

It is not an unprimeable number, because it can be changed into a prime (1021120002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132557489 + ... + 132565191.

It is an arithmetic number, because the mean of its divisors is an integer number (44729069616).

Almost surely, 21021120002020 is an apocalyptic number.

1021120002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021120002020 is an abundant number, since it is smaller than the sum of its proper divisors (1125875339548).

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

1021120002020 is a wasteful number, since it uses less digits than its factorization.

1021120002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15020 (or 15018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1021120002020 its reverse (202000211201), we get a palindrome (1223120213221).

The spelling of 1021120002020 in words is "one trillion, twenty-one billion, one hundred twenty million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 1061 2122 4244 5305 6247 7703 10610 12494 15406 21220 24988 30812 31235 38515 62470 77030 124940 154060 6628067 8172883 13256134 16345766 26512268 32691532 33140335 40864415 48120641 66280670 81728830 96241282 132561340 163457660 192482564 240603205 481206410 962412820 51056000101 102112000202 204224000404 255280000505 510560001010 1021120002020