Search a number
-
+
311221200020 = 225471013278083
BaseRepresentation
bin1001000011101100011…
…10101010010010010100
31002202022112121001100212
410201312032222102110
520044340111400040
6354550102224552
731325231360243
oct4416616522224
91082275531325
10311221200020
1110aa96287a25
1250397425158
132346a823c33
14110c555295a
158167893d65
hex48763aa494

311221200020 has 48 divisors (see below), whose sum is σ = 674078969088. Its totient is φ = 120633417600.

The previous prime is 311221200007. The next prime is 311221200053. The reversal of 311221200020 is 20002122113.

It is a happy number.

It is a super-3 number, since 3×3112212000203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311221199968 and 311221200004.

It is a congruent number.

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, 1544102 + ... + 1733981.

It is an arithmetic number, because the mean of its divisors is an integer number (14043311856).

Almost surely, 2311221200020 is an apocalyptic number.

It is an amenable number.

311221200020 is an abundant number, since it is smaller than the sum of its proper divisors (362857769068).

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

311221200020 is a wasteful number, since it uses less digits than its factorization.

311221200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278240 (or 3278238 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 311221200020 its reverse (20002122113), we get a palindrome (331223322133).

The spelling of 311221200020 in words is "three hundred eleven billion, two hundred twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 101 188 202 235 404 470 505 940 1010 2020 4747 9494 18988 23735 47470 94940 3278083 6556166 13112332 16390415 32780830 65561660 154069901 308139802 331086383 616279604 662172766 770349505 1324345532 1540699010 1655431915 3081398020 3310863830 6621727660 15561060001 31122120002 62244240004 77805300005 155610600010 311221200020