Search a number
-
+
1021120012220 = 2257112516913823
BaseRepresentation
bin11101101101111110111…
…11101101111110111100
310121121200121110012122212
432312333133231332330
5113212223210342340
62101032425355552
7133526206615460
oct16667737557674
93547617405585
101021120012220
11364066698750
12145a97038bb8
13753a2a0cca9
14375cb39a4a0
151b8659bca65
hexedbf7edfbc

1021120012220 has 192 divisors, whose sum is σ = 2688716685312. Its totient is φ = 316461600000.

The previous prime is 1021120012219. The next prime is 1021120012261. The reversal of 1021120012220 is 222100211201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1021120012195 and 1021120012204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267097229 + ... + 267101051.

It is an arithmetic number, because the mean of its divisors is an integer number (14003732736).

Almost surely, 21021120012220 is an apocalyptic number.

1021120012220 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 1021120012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344358342656).

1021120012220 is an abundant number, since it is smaller than the sum of its proper divisors (1667596673092).

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

1021120012220 is a wasteful number, since it uses less digits than its factorization.

1021120012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1021120012220 its reverse (222100211201), we get a palindrome (1243220223421).

The spelling of 1021120012220 in words is "one trillion, twenty-one billion, one hundred twenty million, twelve thousand, two hundred twenty".