Search a number
-
+
3133331324420 = 22511101907155473
BaseRepresentation
bin101101100110001001000…
…110011011111000000100
3102002112200020200100001212
4231212021012123320010
5402314030304340140
610355233232310552
7442242604546403
oct55461106337004
912075606610055
103133331324420
11aa8924935190
124273163a2458
131996199337cb
14ab9229b363a
1556789c96765
hex2d98919be04

3133331324420 has 96 divisors (see below), whose sum is σ = 7257287511936. Its totient is φ = 1126861056000.

The previous prime is 3133331324419. The next prime is 3133331324477. The reversal of 3133331324420 is 244231333313.

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 31 ways as a sum of consecutive naturals, for example, 20075804 + ... + 20231276.

It is an arithmetic number, because the mean of its divisors is an integer number (75596744916).

Almost surely, 23133331324420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133331324420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628643755968).

3133331324420 is an abundant number, since it is smaller than the sum of its proper divisors (4123956187516).

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

3133331324420 is a wasteful number, since it uses less digits than its factorization.

3133331324420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156501 (or 156499 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 3133331324420 its reverse (244231333313), we get a palindrome (3377562657733).

The spelling of 3133331324420 in words is "three trillion, one hundred thirty-three billion, three hundred thirty-one million, three hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 907 1010 1111 1814 2020 2222 3628 4444 4535 5555 9070 9977 11110 18140 19954 22220 39908 49885 91607 99770 155473 183214 199540 310946 366428 458035 621892 777365 916070 1007677 1554730 1710203 1832140 2015354 3109460 3420406 4030708 5038385 6840812 8551015 10076770 15702773 17102030 20153540 31405546 34204060 62811092 78513865 141014011 157027730 172730503 282028022 314055460 345461006 564056044 690922012 705070055 863652515 1410140110 1551154121 1727305030 2820280220 3102308242 3454610060 6204616484 7755770605 14242415111 15511541210 28484830222 31023082420 56969660444 71212075555 142424151110 156666566221 284848302220 313333132442 626666264884 783332831105 1566665662210 3133331324420