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1321010010000 = 24325414677889
BaseRepresentation
bin10011001110010010010…
…101010001011110010000
311200021202110101112201200
4103032102111101132100
5133120412030310000
62450510313031200
7164303600550012
oct23162225213620
94607673345650
101321010010000
1146a26779171a
1219402b6b5500
1397755b05515
1447d19a661b2
152456869d500
hex13392551790

1321010010000 has 150 divisors (see below), whose sum is σ = 4619763132270. Its totient is φ = 352269312000.

The previous prime is 1321010009933. The next prime is 1321010010037. The reversal of 1321010010000 is 100101231.

It can be written as a sum of positive squares in 5 ways, for example, as 299519776656 + 1021490233344 = 547284^2 + 1010688^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7248945 + ... + 7428944.

Almost surely, 21321010010000 is an apocalyptic number.

1321010010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321010010000 is an abundant number, since it is smaller than the sum of its proper divisors (3298753122270).

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

1321010010000 is a wasteful number, since it uses less digits than its factorization.

1321010010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14677923 (or 14677899 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1321010010000 its reverse (100101231), we get a palindrome (1321110111231).

The spelling of 1321010010000 in words is "one trillion, three hundred twenty-one billion, ten million, ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 14677889 29355778 44033667 58711556 73389445 88067334 117423112 132101001 146778890 176134668 220168335 234846224 264202002 293557780 352269336 366947225 440336670 528404004 587115560 660505005 704538672 733894450 880673340 1056808008 1100841675 1174231120 1321010010 1467788900 1761346680 1834736125 2113616016 2201683350 2642020020 2935577800 3302525025 3522693360 3669472250 4403366700 5284040040 5504208375 5871155600 6605050050 7338944500 8806733400 9173680625 10568080080 11008416750 13210100100 14677889000 16512625125 17613466800 18347361250 22016833500 26420200200 27521041875 29355778000 33025250250 36694722500 44033667000 52840400400 55042083750 66050500500 73389445000 82563125625 88067334000 110084167500 132101001000 146778890000 165126251250 220168335000 264202002000 330252502500 440336670000 660505005000 1321010010000