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213401340520 = 2355335033513
BaseRepresentation
bin1100011010111110110…
…1100000101001101000
3202101211022021022122121
43012233231200221220
511444021220344040
6242011335201024
721263166315424
oct3065755405150
9671738238577
10213401340520
1182559547735
1235437816174
131717b8b1674
14a485c7db84
15583ec51c4a
hex31afb60a68

213401340520 has 16 divisors (see below), whose sum is σ = 480153016260. Its totient is φ = 85360536192.

The previous prime is 213401340461. The next prime is 213401340533. The reversal of 213401340520 is 25043104312.

213401340520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 197365170564 + 16036169956 = 444258^2 + 126634^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2667516717 + ... + 2667516796.

Almost surely, 2213401340520 is an apocalyptic number.

213401340520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213401340520 is an abundant number, since it is smaller than the sum of its proper divisors (266751675740).

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

213401340520 is a wasteful number, since it uses less digits than its factorization.

213401340520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335033524 (or 5335033520 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 213401340520 its reverse (25043104312), we get a palindrome (238444444832).

The spelling of 213401340520 in words is "two hundred thirteen billion, four hundred one million, three hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5335033513 10670067026 21340134052 26675167565 42680268104 53350335130 106700670260 213401340520