Search a number
-
+
22221221112101 = 111789971992632
BaseRepresentation
bin1010000110101110001111…
…11111011010100100100101
32220200022212002212020021002
411003113013333122210211
510403033030101041401
6115132142115203045
74452300400656314
oct503270777324445
986608762766232
1022221221112101
117097a700146a0
1225aa755ba6485
13c525b5518a2b
1456b72733c27b
1528805935ea6b
hex1435c7fda925

22221221112101 has 96 divisors (see below), whose sum is σ = 26455639392000. Its totient is φ = 18441494691840.

The previous prime is 22221221112071. The next prime is 22221221112109. The reversal of 22221221112101 is 10121112212222.

It is not a de Polignac number, because 22221221112101 - 218 = 22221220849957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221221112109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84491334896 + ... + 84491335158.

It is an arithmetic number, because the mean of its divisors is an integer number (275579577000).

Almost surely, 222221221112101 is an apocalyptic number.

It is an amenable number.

22221221112101 is a deficient number, since it is larger than the sum of its proper divisors (4234418279899).

22221221112101 is a wasteful number, since it uses less digits than its factorization.

22221221112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 22221221112101 its reverse (10121112212222), we get a palindrome (32342333324323).

It can be divided in two parts, 22221221 and 112101, that added together give a palindrome (22333322).

The spelling of 22221221112101 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, one hundred one".

Divisors: 1 11 17 89 97 187 199 263 979 1067 1513 1649 2189 2893 3383 4471 8633 16643 17711 18139 19303 23407 25511 37213 49181 52337 69169 94963 146761 194821 212333 257477 280621 301087 328151 397919 433687 575707 760859 889729 1175873 1614371 1717967 2270479 3311957 3609661 4377109 4657993 4770557 5076689 6156041 6709393 9787019 12934603 13764631 18897637 24975269 29205439 38598143 51237923 55843579 67716451 73803323 79185881 86303713 104652697 114059681 151410941 233998727 321259829 424579573 451825321 597135977 871044691 949340843 1151179667 1225052159 1254656491 1335169207 2573985997 4970078531 6568495747 7681030457 10151311609 13475573749 14686861277 20825886703 22697876519 84491335027 111664427699 118830059423 229084753733 249676641709 1307130653653 2020111010191 22221221112101