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1321220000 = 2554312131
BaseRepresentation
bin100111011000000…
…0011011110100000
310102002002221010002
41032300003132200
510201213020000
6335034155132
744512120232
oct11660033640
93362087102
101321220000
11618881161
1230a582aa8
131809577a9
14c7686252
157aed28d5
hex4ec037a0

1321220000 has 120 divisors (see below), whose sum is σ = 3356825472. Its totient is φ = 511200000.

The previous prime is 1321219997. The next prime is 1321220003. The reversal of 1321220000 is 221231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1321219997) and next prime (1321220003).

It is not an unprimeable number, because it can be changed into a prime (1321220003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 618935 + ... + 621065.

Almost surely, 21321220000 is an apocalyptic number.

1321220000 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 1321220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678412736).

1321220000 is an abundant number, since it is smaller than the sum of its proper divisors (2035605472).

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

1321220000 is an equidigital number, since it uses as much as digits as its factorization.

1321220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2169 counting only the distinct ones).

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

The square root of 1321220000 is about 36348.5900689422. The cubic root of 1321220000 is about 1097.2991591502.

Adding to 1321220000 its reverse (221231), we get a palindrome (1321441231).

The spelling of 1321220000 in words is "one billion, three hundred twenty-one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 625 775 800 992 1000 1240 1250 1550 2000 2131 2480 2500 3100 3875 4000 4262 4960 5000 6200 7750 8524 10000 10655 12400 15500 17048 19375 20000 21310 24800 31000 34096 38750 42620 53275 62000 66061 68192 77500 85240 106550 124000 132122 155000 170480 213100 264244 266375 310000 330305 340960 426200 528488 532750 620000 660610 852400 1056976 1065500 1321220 1331875 1651525 1704800 2113952 2131000 2642440 2663750 3303050 4262000 5284880 5327500 6606100 8257625 8524000 10569760 10655000 13212200 16515250 21310000 26424400 33030500 41288125 42620000 52848800 66061000 82576250 132122000 165152500 264244000 330305000 660610000 1321220000