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213425250320 = 24522961116189
BaseRepresentation
bin1100011011000100100…
…0101110000000010000
3202101212222021001201202
43012301020232000100
511444043331002240
6242013551450332
721263606460332
oct3066110560020
9671788231652
10213425250320
1182570a984a7
12354438269a8
1317183833589
14a489105452
155841dc6315
hex31b122e010

213425250320 has 40 divisors (see below), whose sum is σ = 496239589080. Its totient is φ = 85365647360.

The previous prime is 213425250319. The next prime is 213425250359. The reversal of 213425250320 is 23052524312.

It can be written as a sum of positive squares in 4 ways, for example, as 10280337664 + 203144912656 = 101392^2 + 450716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1778786 + ... + 1894974.

It is an arithmetic number, because the mean of its divisors is an integer number (12405989727).

Almost surely, 2213425250320 is an apocalyptic number.

213425250320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213425250320 is an abundant number, since it is smaller than the sum of its proper divisors (282814338760).

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

213425250320 is a wasteful number, since it uses less digits than its factorization.

213425250320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139163 (or 139157 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 213425250320 its reverse (23052524312), we get a palindrome (236477774632).

The spelling of 213425250320 in words is "two hundred thirteen billion, four hundred twenty-five million, two hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 22961 45922 91844 114805 116189 183688 229610 232378 367376 459220 464756 580945 918440 929512 1161890 1836880 1859024 2323780 4647560 9295120 2667815629 5335631258 10671262516 13339078145 21342525032 26678156290 42685050064 53356312580 106712625160 213425250320