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3829120121 = 376116710159
BaseRepresentation
bin1110010000111011…
…1011110001111001
3100212212011110022202
43210032323301321
530320223320441
61431543155545
7163613661341
oct34416736171
910785143282
103829120121
111695490692
128aa445bb5
134903c1a68
14284791d21
1517626e19b
hexe43bbc79

3829120121 has 16 divisors (see below), whose sum is σ = 4021409280. Its totient is φ = 3642252480.

The previous prime is 3829120111. The next prime is 3829120123. The reversal of 3829120121 is 1210219283.

It is a cyclic number.

It is not a de Polignac number, because 3829120121 - 214 = 3829103737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3829120123) 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, 371840 + ... + 381998.

It is an arithmetic number, because the mean of its divisors is an integer number (251338080).

Almost surely, 23829120121 is an apocalyptic number.

It is an amenable number.

3829120121 is a deficient number, since it is larger than the sum of its proper divisors (192289159).

3829120121 is a wasteful number, since it uses less digits than its factorization.

3829120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10424.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 3829120121 is about 61879.8846233572. The cubic root of 3829120121 is about 1564.4667239599.

The spelling of 3829120121 in words is "three billion, eight hundred twenty-nine million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 37 61 167 2257 6179 10159 10187 375883 376919 619699 1696553 22928863 62772461 103489733 3829120121