Search a number
-
+
3033223220031 = 329149263889699
BaseRepresentation
bin101100001000111010001…
…100010100101100111111
3101201222021112121201110220
4230020322030110230333
5344144020121020111
610241235444232423
7432100045652634
oct54107214245477
911658245551426
103033223220031
11a6a423482714
1240ba3839b713
13190054903794
14a6b4745218b
1553d7b305e06
hex2c23a314b3f

3033223220031 has 32 divisors (see below), whose sum is σ = 4227854400000. Its totient is φ = 1931940060288.

The previous prime is 3033223219937. The next prime is 3033223220057. The reversal of 3033223220031 is 1300223223303.

3033223220031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-3033223220031 is a prime.

It is a super-2 number, since 2×30332232200312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3033223219983 and 3033223220010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3033223221031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2964420 + ... + 3854118.

It is an arithmetic number, because the mean of its divisors is an integer number (132120450000).

Almost surely, 23033223220031 is an apocalyptic number.

3033223220031 is a deficient number, since it is larger than the sum of its proper divisors (1194631179969).

3033223220031 is a wasteful number, since it uses less digits than its factorization.

3033223220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890143.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 3033223220031 its reverse (1300223223303), we get a palindrome (4333446443334).

The spelling of 3033223220031 in words is "three trillion, thirty-three billion, two hundred twenty-three million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 29 87 149 263 447 789 4321 7627 12963 22881 39187 117561 889699 1136423 2669097 3409269 25801271 77403813 132565151 233990837 397695453 701972511 3844389379 6785734273 11533168137 20357202819 34864634713 104593904139 1011074406677 3033223220031