Search a number
-
+
1021200120020 = 22573699452137
BaseRepresentation
bin11101101110001000100…
…01010011100011010100
310121121220012012002220102
432313010101103203110
5113212404212320040
62101044410353232
7133531201541063
oct16670421234324
93547805162812
101021200120020
113640a7932943
12145ab9a2b818
13753b64aa462
14375d7c901da
151b86ca43515
hexedc44538d4

1021200120020 has 24 divisors (see below), whose sum is σ = 2173897244904. Its totient is φ = 402884430336.

The previous prime is 1021200120019. The next prime is 1021200120071. The reversal of 1021200120020 is 200210021201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 378567017284 + 642633102736 = 615278^2 + 801644^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1021200119983 and 1021200120010.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 349724609 + ... + 349727528.

It is an arithmetic number, because the mean of its divisors is an integer number (90579051871).

Almost surely, 21021200120020 is an apocalyptic number.

1021200120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021200120020 is an abundant number, since it is smaller than the sum of its proper divisors (1152697124884).

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

1021200120020 is a wasteful number, since it uses less digits than its factorization.

1021200120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699452219 (or 699452217 counting only the distinct ones).

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

Adding to 1021200120020 its reverse (200210021201), we get a palindrome (1221410141221).

The spelling of 1021200120020 in words is "one trillion, twenty-one billion, two hundred million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 699452137 1398904274 2797808548 3497260685 6994521370 13989042740 51060006001 102120012002 204240024004 255300030005 510600060010 1021200120020