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1321104002000 = 24536221106181
BaseRepresentation
bin10011001110010111111…
…011110100101111010000
311200022000000020211111212
4103032113323310233100
5133121110111031000
62450523511355252
7164306121510116
oct23162773645720
94608000224455
101321104002000
1146a30584a262
12194057082b28
139776c4244a3
1447d28331ab6
1524571a67c35
hex13397ef4bd0

1321104002000 has 80 divisors (see below), whose sum is σ = 3194973057744. Its totient is φ = 528351680000.

The previous prime is 1321104001981. The next prime is 1321104002003. The reversal of 1321104002000 is 2004011231.

It can be written as a sum of positive squares in 8 ways, for example, as 1150376373136 + 170727628864 = 1072556^2 + 413192^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321104002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12388910 + ... + 12495090.

Almost surely, 21321104002000 is an apocalyptic number.

1321104002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321104002000 is an abundant number, since it is smaller than the sum of its proper divisors (1873869055744).

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

1321104002000 is a wasteful number, since it uses less digits than its factorization.

1321104002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112425 (or 112409 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1321104002000 its reverse (2004011231), we get a palindrome (1323108013231).

The spelling of 1321104002000 in words is "one trillion, three hundred twenty-one billion, one hundred four million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6221 12442 24884 31105 49768 62210 99536 106181 124420 155525 212362 248840 311050 424724 497680 530905 622100 777625 849448 1061810 1244200 1555250 1698896 2123620 2488400 2654525 3110500 4247240 5309050 6221000 8494480 10618100 12442000 13272625 21236200 26545250 42472400 53090500 106181000 212362000 660552001 1321104002 2642208004 3302760005 5284416008 6605520010 10568832016 13211040020 16513800025 26422080040 33027600050 52844160080 66055200100 82569000125 132110400200 165138000250 264220800400 330276000500 660552001000 1321104002000