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4114003101 = 3131937150053
BaseRepresentation
bin1111010100110110…
…1011010010011101
3101121201020000022020
43311031223102131
531411141044401
61520121210353
7203643310065
oct36515532235
911551200266
104114003101
11182127a46a
129699309b9
13507428b80
142b054c3a5
15191293d36
hexf536b49d

4114003101 has 32 divisors (see below), whose sum is σ = 6386298240. Its totient is φ = 2333608704.

The previous prime is 4114003081. The next prime is 4114003141. The reversal of 4114003101 is 1013004114.

It is not a de Polignac number, because 4114003101 - 213 = 4113994909 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114003141) 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 31 ways as a sum of consecutive naturals, for example, 47610 + ... + 102443.

It is an arithmetic number, because the mean of its divisors is an integer number (199571820).

Almost surely, 24114003101 is an apocalyptic number.

It is an amenable number.

4114003101 is a deficient number, since it is larger than the sum of its proper divisors (2272295139).

4114003101 is a wasteful number, since it uses less digits than its factorization.

4114003101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150125.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 4114003101 is about 64140.4950167989. The cubic root of 4114003101 is about 1602.3407277272.

Adding to 4114003101 its reverse (1013004114), we get a palindrome (5127007215).

The spelling of 4114003101 in words is "four billion, one hundred fourteen million, three thousand, one hundred one".

Divisors: 1 3 13 19 37 39 57 111 247 481 703 741 1443 2109 9139 27417 150053 450159 1950689 2851007 5551961 5852067 8553021 16655883 37063091 72175493 105487259 111189273 216526479 316461777 1371334367 4114003101