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11141105720 = 2351767972521
BaseRepresentation
bin10100110000000111…
…11100100000111000
31001202102221210220012
422120003330200320
5140304110340340
65041304321052
7543041556533
oct123003744070
931672853805
1011141105720
1147a7955698
1221ab173188
131087231064
14779921a1a
15453163565
hex2980fc838

11141105720 has 128 divisors (see below), whose sum is σ = 27226704960. Its totient is φ = 4087480320.

The previous prime is 11141105719. The next prime is 11141105761. The reversal of 11141105720 is 2750114111.

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, 4418060 + ... + 4420580.

Almost surely, 211141105720 is an apocalyptic number.

11141105720 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 11141105720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13613352480).

11141105720 is an abundant number, since it is smaller than the sum of its proper divisors (16085599240).

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

11141105720 is a wasteful number, since it uses less digits than its factorization.

11141105720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 23.

Adding to 11141105720 its reverse (2750114111), we get a palindrome (13891219831).

The spelling of 11141105720 in words is "eleven billion, one hundred forty-one million, one hundred five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 97 134 136 170 194 268 335 340 388 485 536 670 680 776 970 1139 1340 1649 1940 2278 2521 2680 3298 3880 4556 5042 5695 6499 6596 8245 9112 10084 11390 12605 12998 13192 16490 20168 22780 25210 25996 32495 32980 42857 45560 50420 51992 64990 65960 85714 100840 110483 129980 168907 171428 214285 220966 244537 259960 337814 342856 428570 441932 489074 552415 675628 844535 857140 883864 978148 1104830 1222685 1351256 1689070 1714280 1956296 2209660 2445370 2871419 3378140 4157129 4419320 4890740 5742838 6756280 8314258 9781480 11485676 14357095 16383979 16628516 20785645 22971352 28714190 32767958 33257032 41571290 57428380 65535916 81919895 83142580 114856760 131071832 163839790 166285160 278527643 327679580 557055286 655359160 1114110572 1392638215 2228221144 2785276430 5570552860 11141105720