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21771700431 = 3133177392383
BaseRepresentation
bin10100010001101100…
…011100100011001111
32002012022021222100020
4110101230130203033
5324042023403211
614000215033223
71400344254165
oct242154344317
962168258306
1021771700431
119262614858
12427736b813
13208c7699a0
1410a7713235
15876584306
hex511b1c8cf

21771700431 has 32 divisors (see below), whose sum is σ = 31416161280. Its totient is φ = 13332034944.

The previous prime is 21771700421. The next prime is 21771700501. The reversal of 21771700431 is 13400717712.

It is not a de Polignac number, because 21771700431 - 29 = 21771699919 is a prime.

It is a super-2 number, since 2×217717004312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21771700392 and 21771700401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21771700421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9135066 + ... + 9137448.

It is an arithmetic number, because the mean of its divisors is an integer number (981755040).

Almost surely, 221771700431 is an apocalyptic number.

21771700431 is a deficient number, since it is larger than the sum of its proper divisors (9644460849).

21771700431 is a wasteful number, since it uses less digits than its factorization.

21771700431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455.

The product of its (nonzero) digits is 8232, while the sum is 33.

The spelling of 21771700431 in words is "twenty-one billion, seven hundred seventy-one million, seven hundred thousand, four hundred thirty-one".

Divisors: 1 3 13 39 317 739 951 2217 2383 4121 7149 9607 12363 28821 30979 92937 234263 702789 755411 1761037 2266233 3045419 5283111 9136257 9820343 22893481 29461029 68680443 558248729 1674746187 7257233477 21771700431