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1321220302000 = 24536719949547
BaseRepresentation
bin10011001110011110110…
…111011110010010110000
311200022022010002111010021
4103032132313132102300
5133121324344131000
62450543224213224
7164312033161144
oct23163667362260
94608263074107
101321220302000
1146a365464165
1219408a00a214
139778a554261
1447d39967224
152457bd8c11a
hex1339edde4b0

1321220302000 has 160 divisors (see below), whose sum is σ = 3258752140800. Its totient is φ = 517973702400.

The previous prime is 1321220301991. The next prime is 1321220302009. The reversal of 1321220302000 is 2030221231.

It is an interprime number because it is at equal distance from previous prime (1321220301991) and next prime (1321220302009).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1321220302009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26641227 + ... + 26690773.

It is an arithmetic number, because the mean of its divisors is an integer number (20367200880).

Almost surely, 21321220302000 is an apocalyptic number.

1321220302000 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 1321220302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629376070400).

1321220302000 is an abundant number, since it is smaller than the sum of its proper divisors (1937531838800).

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

1321220302000 is a wasteful number, since it uses less digits than its factorization.

1321220302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49836 (or 49820 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1321220302000 its reverse (2030221231), we get a palindrome (1323250523231).

The spelling of 1321220302000 in words is "one trillion, three hundred twenty-one billion, two hundred twenty million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 199 200 250 268 335 398 400 500 536 670 796 995 1000 1072 1340 1592 1675 1990 2000 2680 3184 3350 3980 4975 5360 6700 7960 8375 9950 13333 13400 15920 16750 19900 24875 26666 26800 33500 39800 49547 49750 53332 66665 67000 79600 99094 99500 106664 133330 134000 198188 199000 213328 247735 266660 333325 396376 398000 495470 533320 666650 792752 990940 1066640 1238675 1333300 1666625 1981880 2477350 2666600 3319649 3333250 3963760 4954700 5333200 6193375 6639298 6666500 9859853 9909400 12386750 13278596 13333000 16598245 19719706 19818800 24773500 26557192 26666000 33196490 39439412 49299265 49547000 53114384 66392980 78878824 82991225 98598530 99094000 132785960 157757648 165982450 197197060 246496325 265571920 331964900 394394120 414956125 492992650 660610151 663929800 788788240 829912250 985985300 1232481625 1321220302 1327859600 1659824500 1971970600 2464963250 2642440604 3303050755 3319649000 3943941200 4929926500 5284881208 6606101510 6639298000 9859853000 10569762416 13212203020 16515253775 19719706000 26424406040 33030507550 52848812080 66061015100 82576268875 132122030200 165152537750 264244060400 330305075500 660610151000 1321220302000