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20212211321001 = 3274773883105899
BaseRepresentation
bin1001001100010000001011…
…01011010000100010101001
32122120021020202111120102100
410212020011223100202221
510122124102044233001
6110553210043124013
74154166303340560
oct446100553204251
978507222446370
1020212211321001
116492a503a5467
122325318813609
13b3800748692b
144dc3c2048bd7
15250b753be586
hex126205ad08a9

20212211321001 has 96 divisors (see below), whose sum is σ = 34582351564800. Its totient is φ = 11136511556352.

The previous prime is 20212211320957. The next prime is 20212211321039. The reversal of 20212211321001 is 10012311221202.

It is not a de Polignac number, because 20212211321001 - 26 = 20212211320937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20212211321101) 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 95 ways as a sum of consecutive naturals, for example, 190810150 + ... + 190916048.

It is an arithmetic number, because the mean of its divisors is an integer number (360232828800).

Almost surely, 220212211321001 is an apocalyptic number.

20212211321001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20212211321001 is a deficient number, since it is larger than the sum of its proper divisors (14370140243799).

20212211321001 is a wasteful number, since it uses less digits than its factorization.

20212211321001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106915 (or 106912 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20212211321001 its reverse (10012311221202), we get a palindrome (30224522542203).

The spelling of 20212211321001 in words is "twenty trillion, two hundred twelve billion, two hundred eleven million, three hundred twenty-one thousand, one".

Divisors: 1 3 7 9 21 47 63 73 141 219 329 423 511 657 883 987 1533 2649 2961 3431 4599 6181 7947 10293 18543 24017 30879 41501 55629 64459 72051 105899 124503 193377 216153 290507 317697 373509 451213 580131 741293 871521 953091 1353639 2223879 2614563 3029573 4060917 4977253 6671637 7730627 9088719 14931759 21207011 23191881 27266157 34840771 44795277 54114389 63621033 69575643 93508817 104522313 162343167 190863099 280526451 313566939 363339469 487029501 654561719 841579353 1090018407 1963685157 2543376283 3270055221 4394914399 5891055471 6826143641 7630128849 13184743197 20478430923 22890386547 30764400793 39554229591 47783005487 61435292769 92293202379 143349016461 276879607137 320828751127 430047049383 962486253381 2245801257889 2887458760143 6737403773667 20212211321001