Search a number
-
+
20232331133 = 722331737933
BaseRepresentation
bin10010110101111100…
…001101111101111101
31221020000200220122112
4102311330031331331
5312413434044013
613143345023405
71314242656100
oct226574157575
957200626575
1020232331133
118642694923
123b07924b65
131ba5871c91
14d9d0c2737
157d635eba8
hex4b5f0df7d

20232331133 has 48 divisors (see below), whose sum is σ = 25701590016. Its totient is φ = 15831002880.

The previous prime is 20232331123. The next prime is 20232331169. The reversal of 20232331133 is 33113323202.

It is not a de Polignac number, because 20232331133 - 24 = 20232331117 is a prime.

It is a super-2 number, since 2×202323311332 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20232331099 and 20232331108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20232331123) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2546435 + ... + 2554367.

It is an arithmetic number, because the mean of its divisors is an integer number (535449792).

Almost surely, 220232331133 is an apocalyptic number.

20232331133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20232331133 is a deficient number, since it is larger than the sum of its proper divisors (5469258883).

20232331133 is a wasteful number, since it uses less digits than its factorization.

20232331133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8074 (or 8067 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 20232331133 its reverse (33113323202), we get a palindrome (53345654335).

The spelling of 20232331133 in words is "twenty billion, two hundred thirty-two million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 7 23 31 49 73 161 217 511 713 1127 1519 1679 2263 3577 4991 7933 11753 15841 34937 52049 55531 82271 110887 182459 245923 364343 388717 579109 1277213 1721461 2550401 4053763 5656229 8940491 12050227 13319507 17952379 28376341 39593603 93236549 125666653 277155221 412904717 652655843 879666571 2890333019 20232331133