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21112012221144 = 233131730111321951
BaseRepresentation
bin1001100110011100001011…
…11111010010101011011000
32202202021210102122022222220
410303032011333102223120
510231344400112034034
6112522420255144040
74306202225653215
oct463160577225330
982667712568886
1021112012221144
1167aa610567619
12244b796215020
13ba1b14912370
1452db80c04b0c
1526928a1bd749
hex133385fd2ad8

21112012221144 has 128 divisors (see below), whose sum is σ = 60203597690880. Its totient is φ = 6111850752000.

The previous prime is 21112012221143. The next prime is 21112012221149. The reversal of 21112012221144 is 44112221021112.

It is a super-2 number, since 2×211120122211442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112012221143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15309369 + ... + 16631319.

It is an arithmetic number, because the mean of its divisors is an integer number (470340606960).

Almost surely, 221112012221144 is an apocalyptic number.

21112012221144 is a gapful number since it is divisible by the number (24) 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 21112012221144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30101798845440).

21112012221144 is an abundant number, since it is smaller than the sum of its proper divisors (39091585469736).

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

21112012221144 is a wasteful number, since it uses less digits than its factorization.

21112012221144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325001 (or 1324997 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 21112012221144 its reverse (44112221021112), we get a palindrome (65224233242256).

The spelling of 21112012221144 in words is "twenty-one trillion, one hundred twelve billion, twelve million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 3011 5304 6022 9033 12044 18066 24088 36132 39143 51187 72264 78286 102374 117429 153561 156572 204748 234858 307122 313144 409496 469716 614244 665431 939432 1228488 1321951 1330862 1996293 2643902 2661724 3965853 3992586 5287804 5323448 7931706 7985172 10575608 15863412 15970344 17185363 22473167 31726824 34370726 44946334 51556089 67419501 68741452 89892668 103112178 134839002 137482904 179785336 206224356 269678004 292151171 412448712 539356008 584302342 876453513 1168604684 1752907026 2337209368 3505814052 3980394461 7011628104 7960788922 11941183383 15921577844 23882366766 31843155688 47764733532 51745127993 67666705837 95529467064 103490255986 135333411674 155235383979 203000117511 206980511972 270666823348 310470767958 406000235022 413961023944 541333646696 620941535916 812000470044 879667175881 1241883071832 1624000940088 1759334351762 2639001527643 3518668703524 5278003055286 7037337407048 10556006110572 21112012221144