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20212221001112 = 23717591792920071
BaseRepresentation
bin1001001100010000001100…
…10000001011110110011000
32122120021021102201101000222
410212020012100023312120
510122124112034013422
6110553211030415212
74154166451535510
oct446100620136630
978507242641028
1020212221001112
116492a55907258
12232531bb01508
13b380094959ca
144dc3c3448840
15250b76182842
hex12620640bd98

20212221001112 has 128 divisors (see below), whose sum is σ = 46641868416000. Its totient is φ = 8013798789120.

The previous prime is 20212221001081. The next prime is 20212221001223. The reversal of 20212221001112 is 21110012221202.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

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, 1007026037 + ... + 1007046107.

It is an arithmetic number, because the mean of its divisors is an integer number (364389597000).

Almost surely, 220212221001112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212221001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23320934208000).

20212221001112 is an abundant number, since it is smaller than the sum of its proper divisors (26429647414888).

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

20212221001112 is a wasteful number, since it uses less digits than its factorization.

20212221001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38089 (or 38085 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20212221001112 its reverse (21110012221202), we get a palindrome (41322233222314).

The spelling of 20212221001112 in words is "twenty trillion, two hundred twelve billion, two hundred twenty-one million, one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 59 68 118 119 136 236 238 413 472 476 826 952 1003 1652 2006 3304 4012 7021 8024 14042 17929 20071 28084 35858 40142 56168 71716 80284 125503 140497 143432 160568 251006 280994 304793 341207 502012 561988 609586 682414 1004024 1057811 1123976 1184189 1219172 1364828 2115622 2133551 2368378 2388449 2438344 2729656 4231244 4267102 4736756 4776898 7404677 8289323 8462488 8534204 9473512 9553796 14809354 16578646 17068408 17982787 19107592 20131213 29618708 33157292 35965574 40262426 59237416 66314584 71931148 80524852 125879509 140918491 143862296 161049704 251759018 281836982 359852959 503518036 563673964 719705918 1007036072 1127347928 1439411836 2518970713 2878823672 5037941426 6117500303 10075882852 12235000606 20151765704 21231324581 24470001212 42462649162 42822502121 48940002424 84925298324 85645004242 148619272067 169850596648 171290008484 297238544134 342580016968 360932517877 594477088268 721865035754 1188954176536 1443730071508 2526527625139 2887460143016 5053055250278 10106110500556 20212221001112