Search a number
-
+
11114301534520 = 23537199271913879
BaseRepresentation
bin1010000110111011111111…
…1111101011000100111000
31110100111221210011020201211
42201232333333223010320
52424044042143101040
635345501210052504
72224660516200622
oct241567777530470
943314853136654
1011114301534520
1135a5604515628
1212b603911a134
136280c6b59a52
142a5d13b61c12
1514419623a8ea
hexa1bbffeb138

11114301534520 has 128 divisors (see below), whose sum is σ = 25823462400000. Its totient is φ = 4301936635392.

The previous prime is 11114301534517. The next prime is 11114301534529. The reversal of 11114301534520 is 2543510341111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11114301534529) 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, 800792941 + ... + 800806819.

It is an arithmetic number, because the mean of its divisors is an integer number (201745800000).

Almost surely, 211114301534520 is an apocalyptic number.

11114301534520 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 11114301534520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12911731200000).

11114301534520 is an abundant number, since it is smaller than the sum of its proper divisors (14709160865480).

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

11114301534520 is a wasteful number, since it uses less digits than its factorization.

11114301534520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16845 (or 16841 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 11114301534520 its reverse (2543510341111), we get a palindrome (13657811875631).

The spelling of 11114301534520 in words is "eleven trillion, one hundred fourteen billion, three hundred one million, five hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 199 296 370 398 740 796 995 1480 1592 1990 2719 3980 5438 7363 7960 10876 13595 13879 14726 21752 27190 27758 29452 36815 54380 55516 58904 69395 73630 100603 108760 111032 138790 147260 201206 277580 294520 402412 503015 513523 541081 555160 804824 1006030 1027046 1082162 2012060 2054092 2164324 2567615 2705405 2761921 4024120 4108184 4328648 5135230 5410810 5523842 10270460 10821620 11047684 13809605 20019997 20540920 21643240 22095368 27619210 37737001 40039994 55238420 75474002 80079988 100099985 102191077 110476840 150948004 160159976 188685005 200199970 204382154 301896008 377370010 400399940 408764308 510955385 754740020 800799880 817528616 1021910770 1396269037 1509480040 2043821540 2792538074 4087643080 5585076148 6981345185 7509663199 11170152296 13962690370 15019326398 27925380740 30038652796 37548315995 55850761480 60077305592 75096631990 150193263980 277857538363 300386527960 555715076726 1111430153452 1389287691815 2222860306904 2778575383630 5557150767260 11114301534520