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24130221102 = 23213739714563
BaseRepresentation
bin10110011110010001…
…011111010000101110
32022021200021020110200
4112132101133100232
5343404314033402
615030230214330
71512653331561
oct263621372056
968250236420
1024130221102
11a262976299
1248151b43a6
132377291650
14124ca564d8
1596366521c
hex59e45f42e

24130221102 has 96 divisors (see below), whose sum is σ = 57667497888. Its totient is φ = 7246983168.

The previous prime is 24130221097. The next prime is 24130221109. The reversal of 24130221102 is 20112203142.

It is a happy number.

24130221102 is a `hidden beast` number, since 241 + 302 + 21 + 102 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24130221109) 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 47 ways as a sum of consecutive naturals, for example, 1649673 + ... + 1664235.

It is an arithmetic number, because the mean of its divisors is an integer number (600703103).

Almost surely, 224130221102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24130221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28833748944).

24130221102 is an abundant number, since it is smaller than the sum of its proper divisors (33537276786).

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

24130221102 is a wasteful number, since it uses less digits than its factorization.

24130221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14754 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 24130221102 its reverse (20112203142), we get a palindrome (44242424244).

The spelling of 24130221102 in words is "twenty-four billion, one hundred thirty million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 97 117 146 194 219 234 291 438 582 657 873 949 1261 1314 1746 1898 2522 2847 3783 5694 7081 7566 8541 11349 14162 14563 17082 21243 22698 29126 42486 43689 63729 87378 92053 127458 131067 184106 189319 262134 276159 378638 552318 567957 828477 1063099 1135914 1412611 1656954 1703871 2126198 2825222 3189297 3407742 4237833 6378594 8475666 9567891 12713499 13820287 18363943 19135782 25426998 27640574 36727886 41460861 55091829 82921722 103120603 110183658 124382583 165275487 206241206 248765166 309361809 330550974 618723618 928085427 1340567839 1856170854 2681135678 4021703517 8043407034 12065110551 24130221102