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20819506101 = 3193120295807
BaseRepresentation
bin10011011000111100…
…000111001110110101
31222201221120111021120
4103120330013032311
5320114243143401
613321522134153
71334632611342
oct233074071665
958657514246
1020819506101
118914083099
1240504b1359
131c6a3ca1a4
14101708b7c9
1581cb97836
hex4d8f073b5

20819506101 has 32 divisors (see below), whose sum is σ = 30183014400. Its totient is φ = 12716533440.

The previous prime is 20819506079. The next prime is 20819506111. The reversal of 20819506101 is 10160591802.

It is not a de Polignac number, because 20819506101 - 217 = 20819375029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20819506111) 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, 3582340 + ... + 3588146.

It is an arithmetic number, because the mean of its divisors is an integer number (943219200).

Almost surely, 220819506101 is an apocalyptic number.

It is an amenable number.

20819506101 is a deficient number, since it is larger than the sum of its proper divisors (9363508299).

20819506101 is a wasteful number, since it uses less digits than its factorization.

20819506101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7889.

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 20819506101 in words is "twenty billion, eight hundred nineteen million, five hundred six thousand, one hundred one".

Divisors: 1 3 19 31 57 93 589 1767 2029 5807 6087 17421 38551 62899 110333 115653 180017 188697 330999 540051 1195081 3420323 3585243 10260969 11782403 35347209 223865657 365254493 671596971 1095763479 6939835367 20819506101