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20223102330112 = 2811191567924107
BaseRepresentation
bin1001001100100100011101…
…10101001010010100000000
32122121022100202212011021011
410212102032311022110000
510122313403144030422
6111002210455210304
74155033220363663
oct446221665122400
978538322764234
1020223102330112
11649762a060840
122327458076994
13b39051940316
144dcb366676da
152510b15d0077
hex12648ed4a500

20223102330112 has 144 divisors (see below), whose sum is σ = 46359568281600. Its totient is φ = 8707596318720.

The previous prime is 20223102330097. The next prime is 20223102330187. The reversal of 20223102330112 is 21103320132202.

20223102330112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 838877163 + ... + 838901269.

It is an arithmetic number, because the mean of its divisors is an integer number (321941446400).

Almost surely, 220223102330112 is an apocalyptic number.

20223102330112 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 20223102330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23179784140800).

20223102330112 is an abundant number, since it is smaller than the sum of its proper divisors (26136465951488).

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

20223102330112 is a wasteful number, since it uses less digits than its factorization.

20223102330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39832 (or 39818 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 20223102330112 its reverse (21103320132202), we get a palindrome (41326422462314).

The spelling of 20223102330112 in words is "twenty trillion, two hundred twenty-three billion, one hundred two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 608 704 836 1216 1408 1672 2432 2816 3344 4864 6688 13376 15679 24107 26752 31358 48214 53504 62716 96428 125432 172469 192856 250864 265177 297901 344938 385712 458033 501728 530354 595802 689876 771424 916066 1003456 1060708 1191604 1379752 1542848 1832132 2006912 2121416 2383208 2759504 3085696 3276911 3664264 4013824 4242832 4766416 5038363 5519008 6171392 6553822 7328528 8485664 9532832 10076726 11038016 13107644 14657056 16971328 19065664 20153452 22076032 26215288 29314112 33942656 38131328 40306904 44152064 52430576 58628224 67885312 76262656 80613808 104861152 117256448 161227616 209722304 322455232 377973653 419444608 644910464 755947306 838889216 1289820928 1511894612 3023789224 4157710183 6047578448 7181499407 8315420366 12095156896 14362998814 16630840732 24190313792 28725997628 33261681464 48380627584 57451995256 66523362928 78996493477 96761255168 114903990512 133046725856 157992986954 229807981024 266093451712 315985973908 459615962048 532186903424 631971947816 919231924096 1064373806848 1263943895632 1838463848192 2527887791264 5055775582528 10111551165056 20223102330112