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10402421321100 = 22352311278807401
BaseRepresentation
bin1001011101100000000010…
…1000001010110110001100
31100211110110121221110221110
42113120000220022312030
52330413124324233400
634042450102332020
72122356461212434
oct227300050126614
940743417843843
1010402421321100
113350707710836
121200085a2a010
135a5c37309033
1427d6a0b012c4
151308ce1c4e50
hex97600a0ad8c

10402421321100 has 144 divisors (see below), whose sum is σ = 31313202937856. Its totient is φ = 2663357760000.

The previous prime is 10402421321081. The next prime is 10402421321161. The reversal of 10402421321100 is 112312420401.

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 47 ways as a sum of consecutive naturals, for example, 3222601 + ... + 5584800.

Almost surely, 210402421321100 is an apocalyptic number.

10402421321100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10402421321100 is an abundant number, since it is smaller than the sum of its proper divisors (20910781616756).

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

10402421321100 is a wasteful number, since it uses less digits than its factorization.

10402421321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8807576 (or 8807569 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10402421321100 its reverse (112312420401), we get a palindrome (10514733741501).

The spelling of 10402421321100 in words is "ten trillion, four hundred two billion, four hundred twenty-one million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 127 150 155 186 254 300 310 372 381 465 508 620 635 762 775 930 1270 1524 1550 1860 1905 2325 2540 3100 3175 3810 3937 4650 6350 7620 7874 9300 9525 11811 12700 15748 19050 19685 23622 38100 39370 47244 59055 78740 98425 118110 196850 236220 295275 393700 590550 1181100 8807401 17614802 26422203 35229604 44037005 52844406 88074010 105688812 132111015 176148020 220185025 264222030 273029431 440370050 528444060 546058862 660555075 819088293 880740100 1092117724 1118539927 1321110150 1365147155 1638176586 2237079854 2642220300 2730294310 3276353172 3355619781 4095441465 4474159708 5460588620 5592699635 6711239562 6825735775 8190882930 11185399270 13422479124 13651471550 16381765860 16778098905 20477207325 22370798540 27302943100 27963498175 33556197810 34674737737 40954414650 55926996350 67112395620 69349475474 81908829300 83890494525 104024213211 111853992700 138698950948 167780989050 173373688685 208048426422 335561978100 346747377370 416096852844 520121066055 693494754740 866868443425 1040242132110 1733736886850 2080484264220 2600605330275 3467473773700 5201210660550 10402421321100