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4232100133024 = 2541197159710253
BaseRepresentation
bin111101100101011100110…
…100110011100010100000
3112222120210100001002201021
4331211130310303202200
51023314320113224044
613000111105215224
7614521246405561
oct75453464634240
915876710032637
104232100133024
111391907215925
12584261931514
1324911561625a
14108b9874c168
15751475e9e84
hex3d95cd338a0

4232100133024 has 96 divisors (see below), whose sum is σ = 8584699905936. Its totient is φ = 2052473364480.

The previous prime is 4232100132989. The next prime is 4232100133069. The reversal of 4232100133024 is 4203310012324.

4232100133024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 790555713424 + 3441544419600 = 889132^2 + 1855140^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4232100133024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412761882 + ... + 412772134.

Almost surely, 24232100133024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4232100133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292349952968).

4232100133024 is an abundant number, since it is smaller than the sum of its proper divisors (4352599772912).

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

4232100133024 is a wasteful number, since it uses less digits than its factorization.

4232100133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12098 (or 12090 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 4232100133024 its reverse (4203310012324), we get a palindrome (8435410145348).

The spelling of 4232100133024 in words is "four trillion, two hundred thirty-two billion, one hundred million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 32 41 82 164 197 328 394 656 788 1312 1576 1597 3152 3194 6304 6388 8077 10253 12776 16154 20506 25552 32308 41012 51104 64616 65477 82024 129232 130954 164048 258464 261908 314609 328096 420373 523816 629218 840746 1047632 1258436 1681492 2019841 2095264 2516872 3362984 4039682 5033744 6725968 8079364 10067488 12898969 13451936 16158728 16374041 25797938 32317456 32748082 51595876 64634912 65496164 82813481 103191752 130992328 165626962 206383504 261984656 331253924 412767008 523969312 662507848 671335681 1325015696 1342671362 2650031392 2685342724 3225686077 5370685448 6451372154 10741370896 12902744308 21482741792 25805488616 51610977232 103221954464 132253129157 264506258314 529012516628 1058025033256 2116050066512 4232100133024