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11034233320410 = 23251932772293309
BaseRepresentation
bin1010000010010001101110…
…0011101011001111011010
31110001212021200200112120100
42200210123203223033122
52421241102212223120
635245020134240230
72216124405461226
oct240443343531732
943055250615510
1011034233320410
113574657058253
1212a26124b6076
136206a6860271
142a20b9d0b786
1514205bc95490
hexa091b8eb3da

11034233320410 has 96 divisors (see below), whose sum is σ = 28941774011280. Its totient is φ = 2916647460864.

The previous prime is 11034233320351. The next prime is 11034233320457. The reversal of 11034233320410 is 1402333243011.

It is a happy number.

11034233320410 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 423 + 33 + 204 + 1 + 0 = 666.

11034233320410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1730958604281 + 9303274716129 = 1315659^2 + 3050127^2 .

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, 3664836 + ... + 5958144.

Almost surely, 211034233320410 is an apocalyptic number.

11034233320410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11034233320410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14470887005640).

11034233320410 is an abundant number, since it is smaller than the sum of its proper divisors (17907540690870).

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

11034233320410 is a wasteful number, since it uses less digits than its factorization.

11034233320410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293792 (or 2293789 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11034233320410 its reverse (1402333243011), we get a palindrome (12436566563421).

The spelling of 11034233320410 in words is "eleven trillion, thirty-four billion, two hundred thirty-three million, three hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 277 386 554 579 831 965 1158 1385 1662 1737 1930 2493 2770 2895 3474 4155 4986 5790 8310 8685 12465 17370 24930 53461 106922 160383 267305 320766 481149 534610 801915 962298 1603830 2293309 2405745 4586618 4811490 6879927 11466545 13759854 20639781 22933090 34399635 41279562 68799270 103198905 206397810 442608637 635246593 885217274 1270493186 1327825911 1905739779 2213043185 2655651822 3176232965 3811479558 3983477733 4426086370 5717219337 6352465930 6639129555 7966955466 9528698895 11434438674 13278259110 19057397790 19917388665 28586096685 39834777330 57172193370 122602592449 245205184898 367807777347 613012962245 735615554694 1103423332041 1226025924490 1839038886735 2206846664082 3678077773470 5517116660205 11034233320410