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4100311541 = 97271315581
BaseRepresentation
bin1111010001100101…
…1100100111110101
3101120202110102000102
43310121130213311
531344134432131
61514511523445
7203416034024
oct36431344765
911522412012
104100311541
111814578827
12965229585
13504643c61
142ac7c68bb
1518ee8c1cb
hexf465c9f5

4100311541 has 8 divisors (see below), whose sum is σ = 4144375704. Its totient is φ = 4056284160.

The previous prime is 4100311517. The next prime is 4100311543. The reversal of 4100311541 is 1451130014.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1317327025 + 2782984516 = 36295^2 + 52754^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4100311541 - 210 = 4100310517 is a prime.

It is a super-3 number, since 3×41003115413 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100311543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255371 + ... + 270951.

It is an arithmetic number, because the mean of its divisors is an integer number (518046963).

Almost surely, 24100311541 is an apocalyptic number.

It is an amenable number.

4100311541 is a deficient number, since it is larger than the sum of its proper divisors (44064163).

4100311541 is a wasteful number, since it uses less digits than its factorization.

4100311541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18391.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 4100311541 is about 64033.6750546148. The cubic root of 4100311541 is about 1600.5612017026.

Adding to 4100311541 its reverse (1451130014), we get a palindrome (5551441555).

The spelling of 4100311541 in words is "four billion, one hundred million, three hundred eleven thousand, five hundred forty-one".

Divisors: 1 97 2713 15581 263161 1511357 42271253 4100311541