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4100131343 = 71124919859
BaseRepresentation
bin1111010001100011…
…0000101000001111
3101120202010020211102
43310120300220033
531344113200333
61514504013315
7203414353460
oct36430605017
911522106742
104100131343
111814465400
1296516123b
135045acc29
142ac77ad67
1518ee53ae8
hexf4630a0f

4100131343 has 24 divisors (see below), whose sum is σ = 5161591680. Its totient is φ = 3188077200.

The previous prime is 4100131333. The next prime is 4100131367. The reversal of 4100131343 is 3431310014.

It is not a de Polignac number, because 4100131343 - 212 = 4100127247 is a prime.

It is a super-2 number, since 2×41001313432 = 33622154059701967298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100131333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410948 + ... + 420806.

It is an arithmetic number, because the mean of its divisors is an integer number (215066320).

Almost surely, 24100131343 is an apocalyptic number.

4100131343 is a deficient number, since it is larger than the sum of its proper divisors (1061460337).

4100131343 is a wasteful number, since it uses less digits than its factorization.

4100131343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10379 (or 10368 counting only the distinct ones).

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

The square root of 4100131343 is about 64032.2679826351. The cubic root of 4100131343 is about 1600.5377545288.

Adding to 4100131343 its reverse (3431310014), we get a palindrome (7531441357).

The spelling of 4100131343 in words is "four billion, one hundred million, one hundred thirty-one thousand, three hundred forty-three".

Divisors: 1 7 11 77 121 491 847 3437 5401 9859 37807 59411 69013 108449 415877 759143 1192939 4840769 8350573 33885383 53248459 372739213 585733049 4100131343