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4102134330 = 235726972617
BaseRepresentation
bin1111010010000001…
…1001101000111010
3101120212220000102010
43310200121220322
531400121244310
61515014550350
7203440365210
oct36440315072
911525800363
104102134330
111815603268
129659683b6
13504b31828
142acb3ccb0
151901ec320
hexf4819a3a

4102134330 has 64 divisors (see below), whose sum is σ = 11293551360. Its totient is φ = 934132224.

The previous prime is 4102134319. The next prime is 4102134331. The reversal of 4102134330 is 334312014.

It is a super-2 number, since 2×41021343302 = 33655012122729097800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4102134297 and 4102134306.

It is not an unprimeable number, because it can be changed into a prime (4102134331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20182 + ... + 92798.

It is an arithmetic number, because the mean of its divisors is an integer number (176461740).

Almost surely, 24102134330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102134330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646775680).

4102134330 is an abundant number, since it is smaller than the sum of its proper divisors (7191417030).

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

4102134330 is a wasteful number, since it uses less digits than its factorization.

4102134330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72903.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 4102134330 is about 64047.9065231644. The cubic root of 4102134330 is about 1600.7983424750.

Adding to 4102134330 its reverse (334312014), we get a palindrome (4436446344).

The spelling of 4102134330 in words is "four billion, one hundred two million, one hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 269 538 807 1345 1614 1883 2690 3766 4035 5649 8070 9415 11298 18830 28245 56490 72617 145234 217851 363085 435702 508319 726170 1016638 1089255 1524957 2178510 2541595 3049914 5083190 7624785 15249570 19533973 39067946 58601919 97669865 117203838 136737811 195339730 273475622 293009595 410213433 586019190 683689055 820426866 1367378110 2051067165 4102134330