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21022120211112 = 23331726092194319
BaseRepresentation
bin1001100011110100110000…
…00000011111001010101000
32202102200202200222002021000
410301322120000133022220
510223411300233223422
6112413232333315000
74266540510330216
oct461723000371250
982380680862230
1021022120211112
1167754818a4a39
122436289635a60
13b964ba2a0597
145296943b7cb6
15266c78573cac
hex131e9801f2a8

21022120211112 has 128 divisors (see below), whose sum is σ = 61853492160000. Its totient is φ = 6592644108288.

The previous prime is 21022120211101. The next prime is 21022120211149. The reversal of 21022120211112 is 21111202122012.

21022120211112 is a `hidden beast` number, since 210 + 221 + 20 + 211 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8483089 + ... + 10677407.

It is an arithmetic number, because the mean of its divisors is an integer number (483230407500).

Almost surely, 221022120211112 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 21022120211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30926746080000).

21022120211112 is an abundant number, since it is smaller than the sum of its proper divisors (40831371948888).

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

21022120211112 is a wasteful number, since it uses less digits than its factorization.

21022120211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196960 (or 2196950 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21022120211112 its reverse (21111202122012), we get a palindrome (42133322333124).

The spelling of 21022120211112 in words is "twenty-one trillion, twenty-two billion, one hundred twenty million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 2609 3672 5218 7827 10436 15654 20872 23481 31308 44353 46962 62616 70443 88706 93924 133059 140886 177412 187848 266118 281772 354824 399177 532236 563544 798354 1064472 1197531 1596708 2194319 2395062 3193416 4388638 4790124 6582957 8777276 9580248 13165914 17554552 19748871 26331828 37303423 39497742 52663656 59246613 74606846 78995484 111910269 118493226 149213692 157990968 223820538 236986452 298427384 335730807 447641076 473972904 671461614 895282152 1007192421 1342923228 2014384842 2685846456 4028769684 5724978271 8057539368 11449956542 17174934813 22899913084 34349869626 45799826168 51524804439 68699739252 97324630607 103049608878 137399478504 154574413317 194649261214 206099217756 291973891821 309148826634 389298522428 412198435512 583947783642 618297653268 778597044856 875921675463 1167895567284 1236595306536 1751843350926 2335791134568 2627765026389 3503686701852 5255530052778 7007373403704 10511060105556 21022120211112