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11206131030 = 2335192299539
BaseRepresentation
bin10100110111110111…
…11111110101010110
31001220222022102212000
422123323333311112
5140422232143110
65051550140130
7544461353643
oct123373776526
931828272760
1011206131030
114830629116
122208ab1646
13109784a483
1478440adca
15458c0a1c0
hex29beffd56

11206131030 has 128 divisors (see below), whose sum is σ = 31596480000. Its totient is φ = 2818364544.

The previous prime is 11206131023. The next prime is 11206131061. The reversal of 11206131030 is 3013160211.

11206131030 is a `hidden beast` number, since 1 + 1 + 20 + 613 + 1 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11206130994 and 11206131012.

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, 1170001 + ... + 1179539.

It is an arithmetic number, because the mean of its divisors is an integer number (246847500).

Almost surely, 211206131030 is an apocalyptic number.

11206131030 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 11206131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15798240000).

11206131030 is an abundant number, since it is smaller than the sum of its proper divisors (20390348970).

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

11206131030 is a wasteful number, since it uses less digits than its factorization.

11206131030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9803 (or 9797 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11206131030 its reverse (3013160211), we get a palindrome (14219291241).

The spelling of 11206131030 in words is "eleven billion, two hundred six million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 229 270 285 342 458 513 570 687 855 1026 1145 1374 1710 2061 2290 2565 3435 4122 4351 5130 6183 6870 8702 9539 10305 12366 13053 19078 20610 21755 26106 28617 30915 39159 43510 47695 57234 61830 65265 78318 85851 95390 117477 130530 143085 171702 181241 195795 234954 257553 286170 362482 391590 429255 515106 543723 587385 858510 906205 1087446 1174770 1287765 1631169 1812410 2184431 2575530 2718615 3262338 4368862 4893507 5437230 6553293 8155845 9787014 10922155 13106586 16311690 19659879 21844310 24467535 32766465 39319758 41504189 48935070 58979637 65532930 83008378 98299395 117959274 124512567 196598790 207520945 249025134 294898185 373537701 415041890 589796370 622562835 747075402 1120613103 1245125670 1867688505 2241226206 3735377010 5603065515 11206131030