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201292134085 = 5754182312917
BaseRepresentation
bin1011101101110111110…
…0100011011011000101
3201020120101122220020101
42323131330203123011
511244221241242320
6232250005004101
720354130623530
oct2733574433305
9636511586211
10201292134085
1178405186709
12330183b3631
1315c9bc31a63
149a57955a17
155381b0dc0a
hex2eddf236c5

201292134085 has 32 divisors (see below), whose sum is σ = 276925542912. Its totient is φ = 137595697920.

The previous prime is 201292134079. The next prime is 201292134089. The reversal of 201292134085 is 580431292102.

It is not a de Polignac number, because 201292134085 - 23 = 201292134077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201292134089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15577047 + ... + 15589963.

It is an arithmetic number, because the mean of its divisors is an integer number (8653923216).

Almost surely, 2201292134085 is an apocalyptic number.

It is an amenable number.

201292134085 is a deficient number, since it is larger than the sum of its proper divisors (75633408827).

201292134085 is a wasteful number, since it uses less digits than its factorization.

201292134085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14293.

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 201292134085 in words is "two hundred one billion, two hundred ninety-two million, one hundred thirty-four thousand, eighty-five".

Divisors: 1 5 7 35 541 823 2705 3787 4115 5761 12917 18935 28805 64585 90419 445243 452095 2226215 3116701 6988097 10630691 15583505 34940485 48916679 53153455 74414837 244583395 372074185 5751203831 28756019155 40258426817 201292134085