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1321100310000 = 2435444036677
BaseRepresentation
bin10011001110010111101…
…101101111010111110000
311200021222202022021001010
4103032113231233113300
5133121103134410000
62450523300310520
7164306045232222
oct23162755572760
94607882267033
101321100310000
1146a303758419
121940559a2440
139776b730b83
1447d27a50412
1524571588d50
hex13397b6f5f0

1321100310000 has 100 divisors (see below), whose sum is σ = 4264688044232. Its totient is φ = 352293408000.

The previous prime is 1321100309993. The next prime is 1321100310007. The reversal of 1321100310000 is 130011231.

It is an interprime number because it is at equal distance from previous prime (1321100309993) and next prime (1321100310007).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×13211003100002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321100310007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21988339 + ... + 22048338.

Almost surely, 21321100310000 is an apocalyptic number.

1321100310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321100310000 is an abundant number, since it is smaller than the sum of its proper divisors (2943587734232).

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

1321100310000 is an equidigital number, since it uses as much as digits as its factorization.

1321100310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44036708 (or 44036687 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1321100310000 its reverse (130011231), we get a palindrome (1321230321231).

The spelling of 1321100310000 in words is "one trillion, three hundred twenty-one billion, one hundred million, three hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 44036677 88073354 132110031 176146708 220183385 264220062 352293416 440366770 528440124 660550155 704586832 880733540 1056880248 1100916925 1321100310 1761467080 2113760496 2201833850 2642200620 3302750775 3522934160 4403667700 5284401240 5504584625 6605501550 8807335400 10568802480 11009169250 13211003100 16513753875 17614670800 22018338500 26422006200 27522923125 33027507750 44036677000 52844012400 55045846250 66055015500 82568769375 88073354000 110091692500 132110031000 165137538750 220183385000 264220062000 330275077500 440366770000 660550155000 1321100310000