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22201000211112 = 23323791121345403
BaseRepresentation
bin1010000110001000100101…
…01110110011001010101000
32220121101122212200000211020
411003010102232303022220
510402220122023223422
6115114555415132440
74450653324104232
oct503042256631250
986541585600736
1022201000211112
11708a433927478
1225a6852074120
13c50712149568
1456a769993252
1528777400b95c
hex143112bb32a8

22201000211112 has 128 divisors (see below), whose sum is σ = 58655284531200. Its totient is φ = 6988200291072.

The previous prime is 22201000211111. The next prime is 22201000211167. The reversal of 22201000211112 is 21111200010222.

It is a junction number, because it is equal to n+sod(n) for n = 22201000211091 and 22201000211100.

It is not an unprimeable number, because it can be changed into a prime (22201000211111) by changing a digit.

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, 488953803 + ... + 488999205.

It is an arithmetic number, because the mean of its divisors is an integer number (458244410400).

Almost surely, 222201000211112 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 22201000211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29327642265600).

22201000211112 is an abundant number, since it is smaller than the sum of its proper divisors (36454284320088).

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

22201000211112 is a wasteful number, since it uses less digits than its factorization.

22201000211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56727 (or 56723 counting only the distinct ones).

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

Adding to 22201000211112 its reverse (21111200010222), we get a palindrome (43312200221334).

The spelling of 22201000211112 in words is "twenty-two trillion, two hundred one billion, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 79 92 138 158 184 237 276 316 474 552 632 948 1817 1896 3634 5451 7268 10902 11213 14536 21804 22426 33639 43608 44852 45403 67278 89704 90806 134556 136209 181612 257899 269112 272418 363224 515798 544836 773697 885827 1031596 1044269 1089672 1547394 1771654 2063192 2088538 2657481 3094788 3132807 3543308 3586837 4177076 5314962 6189576 6265614 7086616 7173674 8354152 10629924 10760511 12531228 14347348 20374021 21259848 21521022 25062456 28694696 40748042 43042044 61122063 81496084 82497251 86084088 122244126 162992168 164994502 244488252 247491753 329989004 488976504 494983506 509103839 659978008 989967012 1018207678 1527311517 1979934024 2036415356 3054623034 4072830712 6109246068 11709388297 12218492136 23418776594 35128164891 40219203281 46837553188 70256329782 80438406562 93675106376 120657609843 140512659564 160876813124 241315219686 281025319128 321753626248 482630439372 925041675463 965260878744 1850083350926 2775125026389 3700166701852 5550250052778 7400333403704 11100500105556 22201000211112