Search a number
-
+
220013022021320 = 235111313817019813
BaseRepresentation
bin110010000001100111000110…
…000001100000011011001000
31001212000001001210022210021002
4302001213012001200123020
5212314143132114140240
62055532330442434132
764225262533602233
oct6201470601403310
91055001053283232
10220013022021320
1164114aa9226780
1220813bb7b02948
13959c1a6384a78
143c4898950041a
151a6809c276d15
hexc819c60606c8

220013022021320 has 64 divisors (see below), whose sum is σ = 544154344683840. Its totient is φ = 79394012089600.

The previous prime is 220013022021283. The next prime is 220013022021413. The reversal of 220013022021320 is 23120220310022.

It is a happy number.

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 = 220013022021292 and 220013022021301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1908452267 + ... + 1908567546.

It is an arithmetic number, because the mean of its divisors is an integer number (8502411635685).

Almost surely, 2220013022021320 is an apocalyptic number.

220013022021320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220013022021320 is an abundant number, since it is smaller than the sum of its proper divisors (324141322662520).

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

220013022021320 is a wasteful number, since it uses less digits than its factorization.

220013022021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817019966 (or 3817019962 counting only the distinct ones).

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

Adding to 220013022021320 its reverse (23120220310022), we get a palindrome (243133242331342).

The spelling of 220013022021320 in words is "two hundred twenty trillion, thirteen billion, twenty-two million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 131 220 262 440 524 655 1048 1310 1441 2620 2882 5240 5764 7205 11528 14410 28820 57640 3817019813 7634039626 15268079252 19085099065 30536158504 38170198130 41987217943 76340396260 83974435886 152680792520 167948871772 209936089715 335897743544 419872179430 500029595503 839744358860 1000059191006 1679488717720 2000118382012 2500147977515 4000236764024 5000295955030 5500325550533 10000591910060 11000651101066 20001183820120 22001302202132 27501627752665 44002604404264 55003255505330 110006511010660 220013022021320