Search a number
-
+
10233342441 = 34730758789
BaseRepresentation
bin10011000011111010…
…00110100111101001
3222102011211122210000
421201331012213221
5131424213424231
64411240013213
7511406655420
oct114175064751
928364748700
1010233342441
114381500703
121b97161209
13c71149c1a
146d11442b7
153ed6016e6
hex261f469e9

10233342441 has 40 divisors (see below), whose sum is σ = 17527885760. Its totient is φ = 5828477472.

The previous prime is 10233342437. The next prime is 10233342481. The reversal of 10233342441 is 14424333201.

10233342441 is a `hidden beast` number, since 1 + 0 + 233 + 3 + 424 + 4 + 1 = 666.

It is not a de Polignac number, because 10233342441 - 22 = 10233342437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10233342481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144675 + ... + 203463.

It is an arithmetic number, because the mean of its divisors is an integer number (438197144).

Almost surely, 210233342441 is an apocalyptic number.

It is an amenable number.

10233342441 is a deficient number, since it is larger than the sum of its proper divisors (7294543319).

10233342441 is an equidigital number, since it uses as much as digits as its factorization.

10233342441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59115 (or 59106 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10233342441 its reverse (14424333201), we get a palindrome (24657675642).

The spelling of 10233342441 in words is "ten billion, two hundred thirty-three million, three hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 63 81 189 307 567 921 2149 2763 6447 8289 19341 24867 58023 58789 174069 176367 411523 529101 1234569 1587303 3703707 4761909 11111121 18048223 33333363 54144669 126337561 162434007 379012683 487302021 1137038049 1461906063 3411114147 10233342441