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21022827012 = 223211233714321
BaseRepresentation
bin10011100101000011…
…101110001000000100
32000021010011021010200
4103211003232020010
5321023320431022
613354024050500
71342652036565
oct234503561004
960233137120
1021022827012
118a08924100
1240a8603a30
131ca0577c15
14103609616c
1583095abac
hex4e50ee204

21022827012 has 108 divisors (see below), whose sum is σ = 58588638108. Its totient is φ = 6351206400.

The previous prime is 21022826999. The next prime is 21022827043. The reversal of 21022827012 is 21072822012.

It can be written as a sum of positive squares in 2 ways, for example, as 2158903296 + 18863923716 = 46464^2 + 137346^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1460812 + ... + 1475132.

Almost surely, 221022827012 is an apocalyptic number.

21022827012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21022827012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29294319054).

21022827012 is an abundant number, since it is smaller than the sum of its proper divisors (37565811096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21022827012 is a wasteful number, since it uses less digits than its factorization.

21022827012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14690 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Subtracting 21022827012 from its reverse (21072822012), we obtain a triangular number (49995000 = T9999).

The spelling of 21022827012 in words is "twenty-one billion, twenty-two million, eight hundred twenty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 337 363 396 484 674 726 1011 1089 1348 1452 2022 2178 3033 3707 4044 4356 6066 7414 11121 12132 14321 14828 22242 28642 33363 40777 42963 44484 57284 66726 81554 85926 122331 128889 133452 157531 163108 171852 244662 257778 315062 366993 472593 489324 515556 630124 733986 945186 1417779 1467972 1732841 1890372 2835558 3465682 4826177 5198523 5671116 6931364 9652354 10397046 14478531 15595569 19304708 20794092 28957062 31191138 43435593 53087947 57914124 62382276 86871186 106175894 159263841 173742372 212351788 318527682 477791523 583967417 637055364 955583046 1167934834 1751902251 1911166092 2335869668 3503804502 5255706753 7007609004 10511413506 21022827012