Search a number
-
+
110201222000112 = 24317145267929671
BaseRepresentation
bin11001000011101000111000…
…101100001110110111110000
3112110012010121122020111121220
4121003220320230032313300
5103421014100313000422
61030213424213345040
732132530004351235
oct3103507054166760
9473163548214556
10110201222000112
1132128091974141
121043989a338180
134964c13818709
141d2daa643b78c
15cb18c00bae5c
hex643a38b0edf0

110201222000112 has 80 divisors (see below), whose sum is σ = 301435153558272. Its totient is φ = 34572657208320.

The previous prime is 110201222000101. The next prime is 110201222000131. The reversal of 110201222000112 is 211000222102011.

It is a junction number, because it is equal to n+sod(n) for n = 110201222000091 and 110201222000100.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 118073037 + ... + 119002707.

Almost surely, 2110201222000112 is an apocalyptic number.

110201222000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110201222000112 is an abundant number, since it is smaller than the sum of its proper divisors (191233931558160).

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

110201222000112 is a wasteful number, since it uses less digits than its factorization.

110201222000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074966 (or 1074960 counting only the distinct ones).

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

Adding to 110201222000112 its reverse (211000222102011), we get a palindrome (321201444102123).

The spelling of 110201222000112 in words is "one hundred ten trillion, two hundred one billion, two hundred twenty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 145267 290534 435801 581068 871602 929671 1162136 1743204 1859342 2324272 2469539 2789013 3486408 3718684 4939078 5578026 6972816 7408617 7437368 9878156 11156052 14817234 14874736 15804407 19756312 22312104 29634468 31608814 39512624 44624208 47413221 59268936 63217628 94826442 118537872 126435256 189652884 252870512 379305768 758611536 135050517157 270101034314 405151551471 540202068628 810303102942 1080404137256 1620606205884 2160808274512 2295858791669 3241212411768 4591717583338 6482424823536 6887576375007 9183435166676 13775152750014 18366870333352 27550305500028 36733740666704 55100611000056 110201222000112