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1321330214000 = 24531511437237
BaseRepresentation
bin10011001110100101011…
…010110000010001110000
311200022120202220121001002
4103032211122300101300
5133122041013322000
62451002152101132
7164314536335246
oct23164532602160
94608522817032
101321330214000
1146a411505725
121940ba9947a8
13977a7258544
1447d4a3b8796
152458684d8d5
hex133a56b0470

1321330214000 has 80 divisors (see below), whose sum is σ = 3197098247616. Its totient is φ = 528181088000.

The previous prime is 1321330213943. The next prime is 1321330214137. The reversal of 1321330214000 is 4120331231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2803382 + ... + 3240618.

Almost surely, 21321330214000 is an apocalyptic number.

1321330214000 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 1321330214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598549123808).

1321330214000 is an abundant number, since it is smaller than the sum of its proper divisors (1875768033616).

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

1321330214000 is a wasteful number, since it uses less digits than its factorization.

1321330214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438771 (or 438755 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1321330214000 its reverse (4120331231), we get a palindrome (1325450545231).

The spelling of 1321330214000 in words is "one trillion, three hundred twenty-one billion, three hundred thirty million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1511 2000 3022 6044 7555 12088 15110 24176 30220 37775 60440 75550 120880 151100 188875 302200 377750 437237 604400 755500 874474 1511000 1748948 2186185 3022000 3497896 4372370 6995792 8744740 10930925 17489480 21861850 34978960 43723700 54654625 87447400 109309250 174894800 218618500 437237000 660665107 874474000 1321330214 2642660428 3303325535 5285320856 6606651070 10570641712 13213302140 16516627675 26426604280 33033255350 52853208560 66066510700 82583138375 132133021400 165166276750 264266042800 330332553500 660665107000 1321330214000