Search a number
-
+
22101200201122 = 27174135920873023
BaseRepresentation
bin1010000011001110101100…
…01011111110010110100010
32220020212001122100020021221
411001213112023332112202
510344101224222413442
6115001052354405254
74440521226032050
oct501472613762642
986225048306257
1022101200201122
117051080377879
12258b43b29082a
13c44198bbc703
145659bd3111d0
15284d82628467
hex1419d62fe5a2

22101200201122 has 128 divisors (see below), whose sum is σ = 41242769326080. Its totient is φ = 8666086410240.

The previous prime is 22101200201077. The next prime is 22101200201149. The reversal of 22101200201122 is 22110200210122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22101200201096 and 22101200201105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7311014103 + ... + 7311017125.

It is an arithmetic number, because the mean of its divisors is an integer number (322209135360).

Almost surely, 222101200201122 is an apocalyptic number.

22101200201122 is a deficient number, since it is larger than the sum of its proper divisors (19141569124958).

22101200201122 is a wasteful number, since it uses less digits than its factorization.

22101200201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5536.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22101200201122 its reverse (22110200210122), we get a palindrome (44211400411244).

The spelling of 22101200201122 in words is "twenty-two trillion, one hundred one billion, two hundred million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 7 14 17 34 41 82 119 238 287 359 574 697 718 1394 2087 2513 3023 4174 4879 5026 6046 6103 9758 12206 14609 14719 21161 29218 29438 35479 42322 42721 51391 70958 85442 85567 102782 103033 123943 171134 206066 247886 248353 250223 359737 496706 500446 598969 719474 749233 867601 1085257 1197938 1454639 1498466 1735202 1751561 2107031 2170514 2909278 3503122 4214062 5244631 6309001 7596799 10182473 10489262 12618002 12736961 14749217 15193598 18449369 20364946 25473922 29498434 30718553 36898738 44163007 44495537 61437106 88326014 88991074 89158727 107253017 129145583 178317454 214506034 215029871 258291166 258669041 311468759 430059742 517338082 522215401 622937518 750771119 756424129 1044430802 1501542238 1512848258 1810683287 2264931359 3621366574 3655507807 4397373697 4529862718 5294968903 7311015614 8794747394 10589937806 15854519513 30781615879 31709039026 38503833103 61563231758 77007666206 92862185719 185724371438 269526831721 539053663442 650035300033 1300070600066 1578657157223 3157314314446 11050600100561 22101200201122