Search a number
-
+
11112110021100 = 223521112726514221
BaseRepresentation
bin1010000110110011110101…
…0111101101100111101100
31110100022022001102211111010
42201230331113231213230
52424030100131133400
635344455522225220
72224552305505644
oct241547527554754
943308261384433
1011112110021100
1135a468a462110
1212b57271b5210
13627b37b0a14a
142a5b86a93524
151440b8b48450
hexa1b3d5ed9ec

11112110021100 has 144 divisors (see below), whose sum is σ = 35350033453056. Its totient is φ = 2672633376000.

The previous prime is 11112110021081. The next prime is 11112110021143. The reversal of 11112110021100 is 112001121111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12838011 + ... + 13676210.

It is an arithmetic number, because the mean of its divisors is an integer number (245486343424).

Almost surely, 211112110021100 is an apocalyptic number.

11112110021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112110021100 is an abundant number, since it is smaller than the sum of its proper divisors (24237923431956).

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

11112110021100 is a wasteful number, since it uses less digits than its factorization.

11112110021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26514376 (or 26514369 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11112110021100 its reverse (112001121111), we get a palindrome (11224111142211).

The spelling of 11112110021100 in words is "eleven trillion, one hundred twelve billion, one hundred ten million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 127 132 150 165 220 254 275 300 330 381 508 550 635 660 762 825 1100 1270 1397 1524 1650 1905 2540 2794 3175 3300 3810 4191 5588 6350 6985 7620 8382 9525 12700 13970 16764 19050 20955 27940 34925 38100 41910 69850 83820 104775 139700 209550 419100 26514221 53028442 79542663 106056884 132571105 159085326 265142210 291656431 318170652 397713315 530284420 583312862 662855525 795426630 874969293 1166625724 1325711050 1458282155 1590853260 1749938586 1988566575 2651422100 2916564310 3367306067 3499877172 3977133150 4374846465 5833128620 6734612134 7291410775 7954266300 8749692930 10101918201 13469224268 14582821550 16836530335 17499385860 20203836402 21874232325 29165643100 33673060670 37040366737 40407672804 43748464650 50509591005 67346121340 74080733474 84182651675 87496929300 101019182010 111121100211 148161466948 168365303350 185201833685 202038364020 222242200422 252547955025 336730606700 370403667370 444484400844 505095910050 555605501055 740807334740 926009168425 1010191820100 1111211002110 1852018336850 2222422004220 2778027505275 3704036673700 5556055010550 11112110021100