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22001021021112 = 23371311453688013
BaseRepresentation
bin1010000000010100000110…
…00010101110101110111000
32212220021110222112121021120
411000022003002232232320
510340431042340133422
6114443043551105240
74430343545041620
oct500120302565670
985807428477246
1022001021021112
11701264288a121
122573b41512220
13c378c22353c3
14560bd856b880
1528246c7e845c
hex1402830aebb8

22001021021112 has 128 divisors (see below), whose sum is σ = 63383592476160. Its totient is φ = 6233718965760.

The previous prime is 22001021021101. The next prime is 22001021021131. The reversal of 22001021021112 is 21112012010022.

It is a super-2 number, since 2×220010210211122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22001021021091 and 22001021021100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31633618 + ... + 32321630.

It is an arithmetic number, because the mean of its divisors is an integer number (495184316220).

Almost surely, 222001021021112 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 22001021021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31691796238080).

22001021021112 is an abundant number, since it is smaller than the sum of its proper divisors (41382571455048).

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

22001021021112 is a wasteful number, since it uses less digits than its factorization.

22001021021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689613 (or 689609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22001021021112 its reverse (21112012010022), we get a palindrome (43113033031134).

The spelling of 22001021021112 in words is "twenty-two trillion, one billion, twenty-one million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 786 917 1048 1453 1572 1834 2751 2906 3144 3668 4359 5502 5812 7336 8718 10171 11004 11624 17436 20342 22008 30513 34872 40684 61026 81368 122052 190343 244104 380686 571029 688013 761372 1142058 1332401 1376026 1522744 2064039 2284116 2664802 2752052 3997203 4128078 4568232 4816091 5329604 5504104 7994406 8256156 9632182 10659208 14448273 15988812 16512312 19264364 28896546 31977624 38528728 57793092 90129703 115586184 180259406 270389109 360518812 540778218 630907921 721037624 999682889 1081556436 1261815842 1892723763 1999365778 2163112872 2523631684 2999048667 3785447526 3998731556 5047263368 5998097334 6997780223 7570895052 7997463112 11996194668 13995560446 15141790104 20993340669 23992389336 27991120892 41986681338 55982241784 83973362676 130958458459 167946725352 261916916918 392875375377 523833833836 785750750754 916709209213 1047667667672 1571501501508 1833418418426 2750127627639 3143003003016 3666836836852 5500255255278 7333673673704 11000510510556 22001021021112