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30132122241024 = 211321634772257
BaseRepresentation
bin1101101100111101011100…
…11100010100100000000000
310221200121021102000000111100
412312132232130110200000
512422141041243203044
6144030301133214400
76226655036042166
oct666365634244000
9127617242000440
1030132122241024
119667a6350a291
123467982931400
1313a75a6bbb0ab
1476258c651236
15373c140e9869
hex1b67ae714800

30132122241024 has 72 divisors (see below), whose sum is σ = 87027101154630. Its totient is φ = 10044040740864.

The previous prime is 30132122241007. The next prime is 30132122241041. The reversal of 30132122241024 is 42014222123103.

30132122241024 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 2 + 1 + 222 + 410 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (30132122241007) and next prime (30132122241041).

It can be written as a sum of positive squares in only one way, i.e., 25542107366400 + 4590014874624 = 5053920^2 + 2142432^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 817367697 + ... + 817404560.

Almost surely, 230132122241024 is an apocalyptic number.

It is an amenable number.

30132122241024 is an abundant number, since it is smaller than the sum of its proper divisors (56894978913606).

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

30132122241024 is a wasteful number, since it uses less digits than its factorization.

30132122241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634772285 (or 1634772262 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 30132122241024 its reverse (42014222123103), we get a palindrome (72146344364127).

The spelling of 30132122241024 in words is "thirty trillion, one hundred thirty-two billion, one hundred twenty-two million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 1634772257 3269544514 4904316771 6539089028 9808633542 13078178056 14712950313 19617267084 26156356112 29425900626 39234534168 52312712224 58851801252 78469068336 104625424448 117703602504 156938136672 209250848896 235407205008 313876273344 418501697792 470814410016 627752546688 837003395584 941628820032 1255505093376 1674006791168 1883257640064 2511010186752 3348013582336 3766515280128 5022020373504 7533030560256 10044040747008 15066061120512 30132122241024