Search a number
-
+
23130133110 = 23257612232699
BaseRepresentation
bin10101100010101010…
…011101001001110110
32012200222102111122200
4111202222131021312
5334332303224420
614343103005330
71446120613260
oct254252351166
965628374580
1023130133110
11989a3a2397
124596299846
1322480233c6
141195cc4b30
15905967b90
hex562a9d276

23130133110 has 192 divisors, whose sum is σ = 70195507200. Its totient is φ = 5174979840.

The previous prime is 23130133099. The next prime is 23130133123. The reversal of 23130133110 is 1133103132.

It is a happy number.

23130133110 is a `hidden beast` number, since 2 + 31 + 301 + 331 + 1 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8568541 + ... + 8571239.

It is an arithmetic number, because the mean of its divisors is an integer number (365601600).

Almost surely, 223130133110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23130133110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35097753600).

23130133110 is an abundant number, since it is smaller than the sum of its proper divisors (47065374090).

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

23130133110 is a wasteful number, since it uses less digits than its factorization.

23130133110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 23130133110 its reverse (1133103132), we get a palindrome (24263236242).

The spelling of 23130133110 in words is "twenty-three billion, one hundred thirty million, one hundred thirty-three thousand, one hundred ten".