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4134313100 = 225241343131
BaseRepresentation
bin1111011001101100…
…1001110010001100
3101200010102212101102
43312123021302030
531431341004400
61522124402232
7204311036651
oct36633116214
911603385342
104134313100
111831791695
129746a6378
1350b6ba418
142b3117c28
15192e569d5
hexf66c9c8c

4134313100 has 18 divisors (see below), whose sum is σ = 8971459644. Its totient is φ = 1653725200.

The previous prime is 4134313097. The next prime is 4134313103. The reversal of 4134313100 is 13134314.

It is an interprime number because it is at equal distance from previous prime (4134313097) and next prime (4134313103).

It is a super-2 number, since 2×41343131002 = 34185089617663220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4134313103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 20671466 + ... + 20671665.

Almost surely, 24134313100 is an apocalyptic number.

It is an amenable number.

4134313100 is an abundant number, since it is smaller than the sum of its proper divisors (4837146544).

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

4134313100 is a wasteful number, since it uses less digits than its factorization.

4134313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41343145 (or 41343138 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 4134313100 is about 64298.6244020819. The cubic root of 4134313100 is about 1604.9732108636.

Adding to 4134313100 its reverse (13134314), we get a palindrome (4147447414).

The spelling of 4134313100 in words is "four billion, one hundred thirty-four million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 41343131 82686262 165372524 206715655 413431310 826862620 1033578275 2067156550 4134313100