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4101662131 = 71744637723
BaseRepresentation
bin1111010001111010…
…0110010110110011
3101120212000000200021
43310132212112303
531400011142011
61515000504311
7203433360430
oct36436462663
911525000607
104101662131
111815310516
1296577b097
135049c7918
142aca58b87
15190157471
hexf47a65b3

4101662131 has 16 divisors (see below), whose sum is σ = 4965110784. Its totient is φ = 3307734144.

The previous prime is 4101662101. The next prime is 4101662207. The reversal of 4101662131 is 1312661014.

It is a cyclic number.

It is not a de Polignac number, because 4101662131 - 27 = 4101662003 is a prime.

It is a super-2 number, since 2×41016621312 = 33647264473758922322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4101662096 and 4101662105.

It is not an unprimeable number, because it can be changed into a prime (4101662101) 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 15 ways as a sum of consecutive naturals, for example, 527236 + ... + 534958.

It is an arithmetic number, because the mean of its divisors is an integer number (310319424).

Almost surely, 24101662131 is an apocalyptic number.

4101662131 is a deficient number, since it is larger than the sum of its proper divisors (863448653).

4101662131 is a wasteful number, since it uses less digits than its factorization.

4101662131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12210.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 4101662131 is about 64044.2201217253. The cubic root of 4101662131 is about 1600.7369171842.

The spelling of 4101662131 in words is "four billion, one hundred one million, six hundred sixty-two thousand, one hundred thirty-one".

Divisors: 1 7 17 119 4463 7723 31241 54061 75871 131291 531097 919037 34467749 241274243 585951733 4101662131