Search a number
-
+
1321020020 = 225175876619
BaseRepresentation
bin100111010111101…
…0010101001110100
310102001201202210102
41032233102221310
510201140120040
6335030013232
744510325215
oct11657225164
93361652712
101321020020
11618754991
1230a4a7218
131808b7768
14c763340c
157ae93515
hex4ebd2a74

1321020020 has 48 divisors (see below), whose sum is σ = 2942775360. Its totient is φ = 496402944.

The previous prime is 1321020017. The next prime is 1321020053. The reversal of 1321020020 is 200201231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1321019983 and 1321020010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196271 + ... + 202889.

It is an arithmetic number, because the mean of its divisors is an integer number (61307820).

Almost surely, 21321020020 is an apocalyptic number.

1321020020 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 1321020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471387680).

1321020020 is an abundant number, since it is smaller than the sum of its proper divisors (1621755340).

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

1321020020 is a wasteful number, since it uses less digits than its factorization.

1321020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7232 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1321020020 is about 36345.8391016083. The cubic root of 1321020020 is about 1097.2437939175.

Adding to 1321020020 its reverse (200201231), we get a palindrome (1521221251).

The spelling of 1321020020 in words is "one billion, three hundred twenty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 587 1174 2348 2935 5870 6619 9979 11740 13238 19958 26476 33095 39916 49895 66190 99790 112523 132380 199580 225046 450092 562615 1125230 2250460 3885353 7770706 15541412 19426765 38853530 66051001 77707060 132102002 264204004 330255005 660510010 1321020020