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20220221022012 = 2232111271091368521
BaseRepresentation
bin1001001100011111000110…
…00101110101111100111100
32122121000220222011112121100
410212033203011311330330
510122242003040201022
6111001012530533100
74154601632563554
oct446174305657474
978530828145540
1020220221022012
116496390699380
122326993137190
13b389b2a1549b
144dc941b1a164
15250e936841ac
hex1263e3175f3c

20220221022012 has 144 divisors (see below), whose sum is σ = 56249499930624. Its totient is φ = 6073504416000.

The previous prime is 20220221021993. The next prime is 20220221022059. The reversal of 20220221022012 is 21022012202202.

20220221022012 is a `hidden beast` number, since 2 + 0 + 220 + 2 + 210 + 220 + 12 = 666.

It is a super-3 number, since 3×202202210220123 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54684312 + ... + 55052832.

It is an arithmetic number, because the mean of its divisors is an integer number (390621527296).

Almost surely, 220220221022012 is an apocalyptic number.

20220221022012 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 20220221022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28124749965312).

20220221022012 is an abundant number, since it is smaller than the sum of its proper divisors (36029278908612).

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

20220221022012 is a wasteful number, since it uses less digits than its factorization.

20220221022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369760 (or 369755 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20220221022012 its reverse (21022012202202), we get a palindrome (41242233224214).

The spelling of 20220221022012 in words is "twenty trillion, two hundred twenty billion, two hundred twenty-one million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 127 132 198 254 381 396 508 762 1091 1143 1397 1524 2182 2286 2794 3273 4191 4364 4572 5588 6546 8382 9819 12001 12573 13092 16764 19638 24002 25146 36003 39276 48004 50292 72006 108009 138557 144012 216018 277114 368521 415671 432036 554228 737042 831342 1105563 1247013 1474084 1524127 1662684 2211126 2494026 3048254 3316689 4053731 4422252 4572381 4988052 6096508 6633378 8107462 9144762 12161193 13266756 13717143 16214924 18289524 24322386 27434286 36483579 46802167 48644772 54868572 72967158 93604334 140406501 145934316 187208668 280813002 402056411 421219503 514823837 561626004 804112822 842439006 1029647674 1206169233 1544471511 1608225644 1684878012 2059295348 2412338466 3088943022 3618507699 4422620521 4633414533 4824676932 6177886044 7237015398 8845241042 9266829066 13267861563 14474030796 17690482084 18533658132 26535723126 39803584689 51061164197 53071446252 79607169378 102122328394 153183492591 159214338756 204244656788 306366985182 459550477773 561672806167 612733970364 919100955546 1123345612334 1685018418501 1838201911092 2246691224668 3370036837002 5055055255503 6740073674004 10110110511006 20220221022012