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4131252100104 = 233416183829237
BaseRepresentation
bin111100000111100001110…
…100000101110000001000
3112121221111001200012222220
4330013201310011300020
51020141301014200404
612441512050014040
7604321164311103
oct74074164056010
915557431605886
104131252100104
111353066122078
125687b7b77320
1323c7632069ac
14103d4cc1b73a
15726e3beb4d9
hex3c1e1d05c08

4131252100104 has 128 divisors (see below), whose sum is σ = 10883052190080. Its totient is φ = 1305549158400.

The previous prime is 4131252100093. The next prime is 4131252100111. The reversal of 4131252100104 is 4010012521314.

It is a super-2 number, since 2×41312521001042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4567374 + ... + 5396610.

It is an arithmetic number, because the mean of its divisors is an integer number (85023845235).

Almost surely, 24131252100104 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 4131252100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441526095040).

4131252100104 is an abundant number, since it is smaller than the sum of its proper divisors (6751800089976).

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

4131252100104 is a wasteful number, since it uses less digits than its factorization.

4131252100104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829431 (or 829427 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 4131252100104 its reverse (4010012521314), we get a palindrome (8141264621418).

The spelling of 4131252100104 in words is "four trillion, one hundred thirty-one billion, two hundred fifty-two million, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 41 61 82 83 122 123 164 166 183 244 246 249 328 332 366 488 492 498 664 732 984 996 1464 1992 2501 3403 5002 5063 6806 7503 10004 10126 10209 13612 15006 15189 20008 20252 20418 27224 30012 30378 40504 40836 60024 60756 81672 121512 207583 415166 622749 829237 830332 1245498 1658474 1660664 2487711 2490996 3316948 4975422 4981992 6633896 9950844 19901688 33998717 50583457 67997434 68826671 101166914 101996151 135994868 137653342 151750371 202333828 203992302 206480013 271989736 275306684 303500742 404667656 407984604 412960026 550613368 607001484 815969208 825920052 1214002968 1651840104 2073921737 2821893511 4147843474 4198426931 5643787022 6221765211 8295686948 8396853862 8465680533 11287574044 12443530422 12595280793 16591373896 16793707724 16931361066 22575148088 24887060844 25190561586 33587415448 33862722132 49774121688 50381123172 67725444264 100762246344 172135504171 344271008342 516406512513 688542016684 1032813025026 1377084033368 2065626050052 4131252100104