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13214304020 = 2254621142981
BaseRepresentation
bin11000100111010001…
…00100011100010100
31021002221001012022102
430103220210130110
5204030330212040
610023124221232
7645314505461
oct142350443424
937087035272
1013214304020
115671148215
12268953a818
1313278c6908
148d4dd2668
15525184515
hex313a24714

13214304020 has 24 divisors (see below), whose sum is σ = 27756237768. Its totient is φ = 5284540800.

The previous prime is 13214304013. The next prime is 13214304029. The reversal of 13214304020 is 2040341231.

It can be written as a sum of positive squares in 4 ways, for example, as 1967277316 + 11247026704 = 44354^2 + 106052^2 .

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 = 13214303983 and 13214304001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13214304029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20930 + ... + 163910.

It is an arithmetic number, because the mean of its divisors is an integer number (1156509907).

Almost surely, 213214304020 is an apocalyptic number.

13214304020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13214304020 is an abundant number, since it is smaller than the sum of its proper divisors (14541933748).

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

13214304020 is a wasteful number, since it uses less digits than its factorization.

13214304020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147611 (or 147609 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13214304020 its reverse (2040341231), we get a palindrome (15254645251).

The spelling of 13214304020 in words is "thirteen billion, two hundred fourteen million, three hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 4621 9242 18484 23105 46210 92420 142981 285962 571924 714905 1429810 2859620 660715201 1321430402 2642860804 3303576005 6607152010 13214304020