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11513225352222 = 23311231201701681
BaseRepresentation
bin1010011110001010000110…
…1101010001010000011110
31111202122122110200220011000
42213202201231101100132
53002113041142232342
640253034104011130
72265542312535126
oct247424155212036
944678573626130
1011513225352222
113739805620270
12135b40ba60aa6
13656900536419
142bb359025c86
1514e74340544c
hexa78a1b5141e

11513225352222 has 128 divisors (see below), whose sum is σ = 29148656163840. Its totient is φ = 3334383360000.

The previous prime is 11513225352203. The next prime is 11513225352241. The reversal of 11513225352222 is 22225352231511.

11513225352222 is a `hidden beast` number, since 1 + 1 + 5 + 132 + 253 + 52 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (11513225352203) and next prime (11513225352241).

It is a super-2 number, since 2×115132253522222 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16057222 + ... + 16758902.

It is an arithmetic number, because the mean of its divisors is an integer number (227723876280).

Almost surely, 211513225352222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11513225352222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574328081920).

11513225352222 is an abundant number, since it is smaller than the sum of its proper divisors (17635430811618).

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

11513225352222 is a wasteful number, since it uses less digits than its factorization.

11513225352222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702927 (or 702921 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 11513225352222 its reverse (22225352231511), we get a palindrome (33738577583733).

The spelling of 11513225352222 in words is "eleven trillion, five hundred thirteen billion, two hundred twenty-five million, three hundred fifty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1201 1242 1518 2277 2402 3603 4554 6831 7206 10809 13211 13662 21618 26422 27623 32427 39633 55246 64854 79266 82869 118899 165738 237798 248607 303853 356697 497214 607706 701681 713394 745821 911559 1403362 1491642 1823118 2105043 2734677 4210086 5469354 6315129 7718491 8204031 12630258 15436982 16138663 16408062 18945387 23155473 32277326 37890774 46310946 48415989 69466419 96831978 138932838 145247967 177525293 208399257 290495934 355050586 416798514 435743901 532575879 842718881 871487802 1065151758 1597727637 1685437762 2528156643 3195455274 4793182911 5056313286 7584469929 9269907691 9586365822 15168939858 18539815382 19382534263 22753409787 27809723073 38765068526 45506819574 55619446146 58147602789 83429169219 116295205578 166858338438 174442808367 213207876893 250287507657 348885616734 426415753786 500575015314 523328425101 639623630679 1046656850202 1279247261358 1918870892037 3837741784074 5756612676111 11513225352222