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1314021420020 = 225193340420057
BaseRepresentation
bin10011000111110001110…
…001111010101111110100
311122121201102010101112202
4103013301301322233310
5133012103440420040
62443353023204032
7163635450532061
oct23076161725764
94577642111482
101314021420020
11467300920621
121927bb146618
1396bb0c95b8a
1447855839c68
15242a9d8a015
hex131f1c7abf4

1314021420020 has 24 divisors (see below), whose sum is σ = 2773742632584. Its totient is φ = 522885206016.

The previous prime is 1314021419987. The next prime is 1314021420037. The reversal of 1314021420020 is 200241204131.

It can be written as a sum of positive squares in 4 ways, for example, as 72196465636 + 1241824954384 = 268694^2 + 1114372^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1314021419974 and 1314021420001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170206169 + ... + 170213888.

It is an arithmetic number, because the mean of its divisors is an integer number (115572609691).

Almost surely, 21314021420020 is an apocalyptic number.

1314021420020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314021420020 is an abundant number, since it is smaller than the sum of its proper divisors (1459721212564).

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

1314021420020 is a wasteful number, since it uses less digits than its factorization.

1314021420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340420259 (or 340420257 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1314021420020 its reverse (200241204131), we get a palindrome (1514262624151).

The spelling of 1314021420020 in words is "one trillion, three hundred fourteen billion, twenty-one million, four hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 340420057 680840114 1361680228 1702100285 3404200570 6808401140 65701071001 131402142002 262804284004 328505355005 657010710010 1314021420020