Search a number
-
+
11112110020220 = 2251197743700831
BaseRepresentation
bin1010000110110011110101…
…0111101101011001111100
31110100022022001102210021112
42201230331113231121330
52424030100131121340
635344455522221152
72224552305503246
oct241547527553174
943308261383245
1011112110020220
1135a468a461490
1212b57271b47b8
13627b37b09921
142a5b86a93096
151440b8b48065
hexa1b3d5ed67c

11112110020220 has 96 divisors (see below), whose sum is σ = 25753927643136. Its totient is φ = 3993721804800.

The previous prime is 11112110020169. The next prime is 11112110020273. The reversal of 11112110020220 is 2202001121111.

It is a junction number, because it is equal to n+sod(n) for n = 11112110020195 and 11112110020204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15505205 + ... + 16206035.

It is an arithmetic number, because the mean of its divisors is an integer number (268270079616).

Almost surely, 211112110020220 is an apocalyptic number.

11112110020220 is a gapful number since it is divisible by the number (10) 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 11112110020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12876963821568).

11112110020220 is an abundant number, since it is smaller than the sum of its proper divisors (14641817622916).

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

11112110020220 is a wasteful number, since it uses less digits than its factorization.

11112110020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701691 (or 701689 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11112110020220 its reverse (2202001121111), we get a palindrome (13314111141331).

The spelling of 11112110020220 in words is "eleven trillion, one hundred twelve billion, one hundred ten million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 743 970 1067 1486 1940 2134 2972 3715 4268 5335 7430 8173 10670 14860 16346 21340 32692 40865 72071 81730 144142 163460 288284 360355 700831 720710 792781 1401662 1441420 1585562 2803324 3171124 3504155 3963905 7008310 7709141 7927810 14016620 15418282 15855620 30836564 38545705 67980607 77091410 135961214 154182820 271922428 339903035 520717433 679806070 747786677 1041434866 1359612140 1495573354 2082869732 2603587165 2991146708 3738933385 5207174330 5727891763 7477866770 10414348660 11455783526 14955733540 22911567052 28639458815 50509591001 57278917630 101019182002 114557835260 202038364004 252547955005 505095910010 555605501011 1010191820020 1111211002022 2222422004044 2778027505055 5556055010110 11112110020220