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21017556131 = 113132275351
BaseRepresentation
bin10011100100101111…
…100111010010100011
32000020202020110211212
4103210233213102203
5321020443244011
613353315100335
71342556164565
oct234457472243
960222213755
1021017556131
118a05954000
1240a68a16ab
131c9c450a60
1410354c3335
1583026908b
hex4e4be74a3

21017556131 has 32 divisors (see below), whose sum is σ = 25010366976. Its totient is φ = 17556132000.

The previous prime is 21017556113. The next prime is 21017556137. The reversal of 21017556131 is 13165571012.

It is not a de Polignac number, because 21017556131 - 222 = 21013361827 is a prime.

It is a super-2 number, since 2×210175561312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21017556137) 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, 3925106 + ... + 3930456.

It is an arithmetic number, because the mean of its divisors is an integer number (781573968).

Almost surely, 221017556131 is an apocalyptic number.

21017556131 is a deficient number, since it is larger than the sum of its proper divisors (3992810845).

21017556131 is a wasteful number, since it uses less digits than its factorization.

21017556131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

The spelling of 21017556131 in words is "twenty-one billion, seventeen million, five hundred fifty-six thousand, one hundred thirty-one".

Divisors: 1 11 13 121 143 227 1331 1573 2497 2951 5351 17303 27467 32461 58861 69563 302137 357071 647471 765193 1214677 3927781 7122181 8417123 13361447 15790801 92588353 146975917 173698811 1616735087 1910686921 21017556131