Search a number
-
+
11233233020 = 2255916358403
BaseRepresentation
bin10100111011000110…
…11000100001111100
31001222212022100210102
422131203120201330
5141001201424040
65054355100232
7545240622332
oct123543304174
931885270712
1011233233020
11484495a259
122215ba1678
1310a0349359
14787c63b52
1545b2b0515
hex29d8d887c

11233233020 has 48 divisors (see below), whose sum is σ = 24137205120. Its totient is φ = 4389961536.

The previous prime is 11233232999. The next prime is 11233233023. The reversal of 11233233020 is 2033233211.

11233233020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11233232983 and 11233233001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233233023) by changing a digit.

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, 163139 + ... + 221541.

It is an arithmetic number, because the mean of its divisors is an integer number (502858440).

Almost surely, 211233233020 is an apocalyptic number.

11233233020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11233233020 is an abundant number, since it is smaller than the sum of its proper divisors (12903972100).

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

11233233020 is a wasteful number, since it uses less digits than its factorization.

11233233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58634 (or 58632 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 11233233020 its reverse (2033233211), we get a palindrome (13266466231).

The spelling of 11233233020 in words is "eleven billion, two hundred thirty-three million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 59 118 163 236 295 326 590 652 815 1180 1630 3260 9617 19234 38468 48085 58403 96170 116806 192340 233612 292015 584030 1168060 3445777 6891554 9519689 13783108 17228885 19039378 34457770 38078756 47598445 68915540 95196890 190393780 561661651 1123323302 2246646604 2808308255 5616616510 11233233020