Search a number
-
+
23032111032 = 2332745698633
BaseRepresentation
bin10101011100110100…
…100001111110111000
32012110010222110122100
4111130310201332320
5334132210023112
614325242023400
71443520466520
oct253464417670
965403873570
1023032111032
11984a031a07
1245694a7b60
132230922c88
141186c8a680
158ec0542dc
hex55cd21fb8

23032111032 has 48 divisors (see below), whose sum is σ = 71289869040. Its totient is φ = 6580603008.

The previous prime is 23032111031. The next prime is 23032111033. The reversal of 23032111032 is 23011123032.

23032111032 is a `hidden beast` number, since 230 + 321 + 110 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (23032111031) and next prime (23032111033).

It is a super-2 number, since 2×230321110322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23032110996 and 23032111014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23032111031) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22848813 + ... + 22849820.

It is an arithmetic number, because the mean of its divisors is an integer number (1485205605).

Almost surely, 223032111032 is an apocalyptic number.

It is an amenable number.

23032111032 is an abundant number, since it is smaller than the sum of its proper divisors (48257758008).

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

23032111032 is a wasteful number, since it uses less digits than its factorization.

23032111032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45698652 (or 45698645 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23032111032 its reverse (23011123032), we get a palindrome (46043234064).

The spelling of 23032111032 in words is "twenty-three billion, thirty-two million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 45698633 91397266 137095899 182794532 274191798 319890431 365589064 411287697 548383596 639780862 822575394 959671293 1096767192 1279561724 1645150788 1919342586 2559123448 2879013879 3290301576 3838685172 5758027758 7677370344 11516055516 23032111032