Search a number
-
+
11120104300144 = 2471946392912149
BaseRepresentation
bin1010000111010001100111…
…0111011101111001110000
31110101001221012002021201011
42201310121313131321300
52424142433200101034
635352301055320304
72225254356660640
oct241643167357160
943331835067634
1011120104300144
1135a8011a822a4
1212b7198520094
136288100c9288
142a63046ac520
151443d58b3864
hexa1d19ddde70

11120104300144 has 160 divisors (see below), whose sum is σ = 26005121280000. Its totient is φ = 4499958177792.

The previous prime is 11120104300127. The next prime is 11120104300147. The reversal of 11120104300144 is 44100340102111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120104300147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915304182 + ... + 915316330.

It is an arithmetic number, because the mean of its divisors is an integer number (162532008000).

Almost surely, 211120104300144 is an apocalyptic number.

11120104300144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120104300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13002560640000).

11120104300144 is an abundant number, since it is smaller than the sum of its proper divisors (14885016979856).

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

11120104300144 is a wasteful number, since it uses less digits than its factorization.

11120104300144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13575 (or 13569 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 11120104300144 its reverse (44100340102111), we get a palindrome (55220444402255).

The spelling of 11120104300144 in words is "eleven trillion, one hundred twenty billion, one hundred four million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 463 532 926 929 1064 1852 1858 2128 3241 3704 3716 6482 6503 7408 7432 8797 12149 12964 13006 14864 17594 17651 24298 25928 26012 35188 35302 48596 51856 52024 61579 70376 70604 85043 97192 104048 123158 123557 140752 141208 170086 194384 230831 246316 247114 282416 340172 430127 461662 492632 494228 680344 860254 923324 985264 988456 1360688 1615817 1720508 1846648 1976912 3010889 3231634 3441016 3693296 5624987 6021778 6463268 6882032 8172413 11249974 11286421 12043556 12926536 16344826 22499948 22572842 24087112 25853072 32689652 39374909 44999896 45145684 48174224 57206891 65379304 78749818 79004947 89999792 90291368 106874753 114413782 130758608 157499636 158009894 180582736 213749506 214441999 228827564 314999272 316019788 427499012 428883998 457655128 629998544 632039576 748123271 854998024 857767996 915310256 1264079152 1496246542 1501093993 1709996048 1715535992 2992493084 3002187986 3431071984 5225612923 5984986168 6004375972 10451225846 11969972336 12008751944 20902451692 24017503888 36579290461 41804903384 73158580922 83609806768 99286645537 146317161844 198573291074 292634323688 397146582148 585268647376 695006518759 794293164296 1390013037518 1588586328592 2780026075036 5560052150072 11120104300144