Search a number
-
+
303311131202420 = 225113853357821687
BaseRepresentation
bin100010011110111000010000…
…0001110110101001101110100
31110202221021001020110120011122
41010331300200032311031310
5304223422144041434140
62553031113213123112
7120613335404351645
oct10475604016651564
91422837036416148
10303311131202420
118870a58a293640
122a027890189498
1310032169c07b13
1454c84a0d356cc
15250ec42abaab5
hex113dc203b5374

303311131202420 has 48 divisors (see below), whose sum is σ = 695038571918208. Its totient is φ = 110266330757760.

The previous prime is 303311131202419. The next prime is 303311131202437. The reversal of 303311131202420 is 24202131113303.

It is a happy number.

It is a super-2 number, since 2×3033111312024202 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 303311131202420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178063184 + ... + 179758503.

It is an arithmetic number, because the mean of its divisors is an integer number (14479970248296).

Almost surely, 2303311131202420 is an apocalyptic number.

It is an amenable number.

303311131202420 is an abundant number, since it is smaller than the sum of its proper divisors (391727440715788).

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

303311131202420 is a wasteful number, since it uses less digits than its factorization.

303311131202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357825560 (or 357825558 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 303311131202420 its reverse (24202131113303), we get a palindrome (327513262315723).

The spelling of 303311131202420 in words is "three hundred three trillion, three hundred eleven billion, one hundred thirty-one million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 3853 7706 15412 19265 38530 42383 77060 84766 169532 211915 423830 847660 357821687 715643374 1431286748 1789108435 3578216870 3936038557 7156433740 7872077114 15744154228 19680192785 39360385570 78720771140 1378686960011 2757373920022 5514747840044 6893434800055 13786869600110 15165556560121 27573739200220 30331113120242 60662226240484 75827782800605 151655565601210 303311131202420