Search a number
-
+
110313241414112 = 25117310939385433
BaseRepresentation
bin11001000101010001001101…
…100100011000100111100000
3112110120211202110112100020002
4121011101031210120213200
5103424333004300222422
61030341111542235132
732143603646562122
oct3105211544304740
9473524673470202
10110313241414112
1132170645a10940
1210457541425aa8
1349726564c9439
141d352918d1212
15cb477960d692
hex64544d9189e0

110313241414112 has 96 divisors (see below), whose sum is σ = 242371659166560. Its totient is φ = 49001779077120.

The previous prime is 110313241414109. The next prime is 110313241414139. The reversal of 110313241414112 is 211414142313011.

It is a super-2 number, since 2×1103132414141122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 16891853 + ... + 22493580.

It is an arithmetic number, because the mean of its divisors is an integer number (2524704782985).

Almost surely, 2110313241414112 is an apocalyptic number.

It is an amenable number.

110313241414112 is an abundant number, since it is smaller than the sum of its proper divisors (132058417752448).

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

110313241414112 is a wasteful number, since it uses less digits than its factorization.

110313241414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39385636 (or 39385628 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 110313241414112 its reverse (211414142313011), we get a palindrome (321727383727123).

The spelling of 110313241414112 in words is "one hundred ten trillion, three hundred thirteen billion, two hundred forty-one million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 109 146 176 218 292 352 436 584 803 872 1168 1199 1606 1744 2336 2398 3212 3488 4796 6424 7957 9592 12848 15914 19184 25696 31828 38368 63656 87527 127312 175054 254624 350108 700216 1400432 2800864 39385433 78770866 157541732 315083464 433239763 630166928 866479526 1260333856 1732959052 2875136609 3465918104 4293012197 5750273218 6931836208 8586024394 11500546436 13863672416 17172048788 23001092872 31626502699 34344097576 46002185744 47223134167 63253005398 68688195152 92004371488 94446268334 126506010796 137376390304 188892536668 253012021592 313389890381 377785073336 506024043184 626779780762 755570146672 1012048086368 1253559561524 1511140293344 2507119123048 3447288794191 5014238246096 6894577588382 10028476492192 13789155176764 27578310353528 55156620707056 110313241414112