Search a number
-
+
110022205130106 = 231710725140162679
BaseRepresentation
bin11001000001000010001010…
…011101000100010101111010
3112102120000112122102021012020
4121001002022131010111322
5103410100434003130411
61025555300412455310
732113561544150313
oct3101021235042572
9472500478367166
10110022205130106
1132069178583095
121040b059a7a536
1349510847857b9
141d2516303b60a
15cabde3d60606
hex64108a74457a

110022205130106 has 64 divisors (see below), whose sum is σ = 236102579758080. Its totient is φ = 34057950944000.

The previous prime is 110022205130039. The next prime is 110022205130129. The reversal of 110022205130106 is 601031502220011.

It is a happy number.

110022205130106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1100222051301062 (a number of 29 digits) contains 22 as substring.

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, 17341926 + ... + 22820753.

It is an arithmetic number, because the mean of its divisors is an integer number (3689102808720).

Almost surely, 2110022205130106 is an apocalyptic number.

110022205130106 is an abundant number, since it is smaller than the sum of its proper divisors (126080374627974).

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

110022205130106 is a wasteful number, since it uses less digits than its factorization.

110022205130106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40163059.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 110022205130106 its reverse (601031502220011), we get a palindrome (711053707350117).

The spelling of 110022205130106 in words is "one hundred ten trillion, twenty-two billion, two hundred five million, one hundred thirty thousand, one hundred six".

Divisors: 1 2 3 6 17 34 51 102 107 214 251 321 502 642 753 1506 1819 3638 4267 5457 8534 10914 12801 25602 26857 53714 80571 161142 456569 913138 1369707 2739414 40162679 80325358 120488037 240976074 682765543 1365531086 2048296629 4096593258 4297406653 8594813306 10080832429 12892219959 20161664858 25784439918 30242497287 60484994574 73055913101 146111826202 171374151293 219167739303 342748302586 438335478606 514122453879 1028244907758 1078649069903 2157298139806 3235947209709 6471894419418 18337034188351 36674068376702 55011102565053 110022205130106