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1321362020 = 2251127721683
BaseRepresentation
bin100111011000010…
…0110001001100100
310102002101010221002
41032300212021210
510201232041040
6335041212432
744513251256
oct11660461144
93362333832
101321362020
11618968930
1230a631118
131809a7324
14c76c1cd6
157b00ea15
hex4ec26264

1321362020 has 48 divisors (see below), whose sum is σ = 3038188608. Its totient is φ = 478738560.

The previous prime is 1321362001. The next prime is 1321362041. The reversal of 1321362020 is 202631231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1321361983 and 1321362001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50099 + ... + 71781.

It is an arithmetic number, because the mean of its divisors is an integer number (63295596).

Almost surely, 21321362020 is an apocalyptic number.

1321362020 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 1321362020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519094304).

1321362020 is an abundant number, since it is smaller than the sum of its proper divisors (1716826588).

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

1321362020 is a wasteful number, since it uses less digits than its factorization.

1321362020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21980 (or 21978 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1321362020 is about 36350.5435997868. The cubic root of 1321362020 is about 1097.3384745413.

Adding to 1321362020 its reverse (202631231), we get a palindrome (1523993251).

The spelling of 1321362020 in words is "one billion, three hundred twenty-one million, three hundred sixty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 277 554 1108 1385 2770 3047 5540 6094 12188 15235 21683 30470 43366 60940 86732 108415 216830 238513 433660 477026 954052 1192565 2385130 4770260 6006191 12012382 24024764 30030955 60061910 66068101 120123820 132136202 264272404 330340505 660681010 1321362020