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201020202112095 = 32553332325364189
BaseRepresentation
bin101101101101001110101001…
…101111010101010001011111
3222100202100021111220002222100
4231231032221233111101133
5202322003333220041340
61551311223405220143
760225142001222532
oct5555165157252137
9870670244802870
10201020202112095
1159062209563053
121a66708ab61653
13882217ba78ab2
14378d603124a19
151838ee4196830
hexb6d3a9bd545f

201020202112095 has 48 divisors (see below), whose sum is σ = 355116110562720. Its totient is φ = 105156271004928.

The previous prime is 201020202112043. The next prime is 201020202112127. The reversal of 201020202112095 is 590211202020102.

It is a happy number.

201020202112095 is a `hidden beast` number, since 201 + 0 + 20 + 20 + 211 + 209 + 5 = 666.

It is not a de Polignac number, because 201020202112095 - 226 = 201020135003231 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4756740 + ... + 20607449.

It is an arithmetic number, because the mean of its divisors is an integer number (7398252303390).

Almost surely, 2201020202112095 is an apocalyptic number.

201020202112095 is a deficient number, since it is larger than the sum of its proper divisors (154095908450625).

201020202112095 is a wasteful number, since it uses less digits than its factorization.

201020202112095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25367576 (or 25367573 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 201020202112095 its reverse (590211202020102), we get a palindrome (791231404132197).

The spelling of 201020202112095 in words is "two hundred one trillion, twenty billion, two hundred two million, one hundred twelve thousand, ninety-five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 3323 9969 16615 29907 49845 149535 176119 528357 880595 1585071 2641785 7925355 25364189 76092567 126820945 228277701 380462835 1141388505 1344302017 4032906051 6721510085 12098718153 20164530255 60493590765 84285200047 252855600141 421426000235 758566800423 1264278000705 3792834002115 4467115602491 13401346807473 22335578012455 40204040422419 67006734037365 201020202112095