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11000113332 = 22313267731109
BaseRepresentation
bin10100011111010100…
…00110100010110100
31001101121122122200220
422033222012202310
5140012012111312
65015310334340
7536410264155
oct121752064264
931347578626
1011000113332
114735305a5a
12216baba3b0
131063c67100
14764cdd92c
15445ab2c8c
hex28fa868b4

11000113332 has 144 divisors (see below), whose sum is σ = 28620204480. Its totient is φ = 3285494784.

The previous prime is 11000113307. The next prime is 11000113363. The reversal of 11000113332 is 23331100011.

It is a congruent number.

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, 9918394 + ... + 9919502.

It is an arithmetic number, because the mean of its divisors is an integer number (198751420).

Almost surely, 211000113332 is an apocalyptic number.

11000113332 is a gapful number since it is divisible by the number (12) 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 11000113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14310102240).

11000113332 is an abundant number, since it is smaller than the sum of its proper divisors (17620091148).

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

11000113332 is a wasteful number, since it uses less digits than its factorization.

11000113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11000113332 its reverse (23331100011), we get a palindrome (34331213343).

The spelling of 11000113332 in words is "eleven billion, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 73 78 134 146 156 169 201 219 268 292 338 402 438 507 676 804 871 876 949 1014 1109 1742 1898 2028 2218 2613 2847 3327 3484 3796 4436 4891 5226 5694 6654 9782 10452 11323 11388 12337 13308 14417 14673 19564 22646 24674 28834 29346 33969 37011 43251 45292 49348 57668 58692 63583 67938 74022 74303 80957 86502 127166 135876 148044 148606 161914 173004 187421 190749 222909 242871 254332 297212 323828 374842 381498 445818 485742 562263 749684 762996 826579 891636 965939 971484 1052441 1124526 1653158 1931878 2104882 2249052 2479737 2897817 3157323 3306316 3863756 4209764 4959474 5424119 5795634 6314646 9918948 10848238 11591268 12557207 12629292 13681733 16272357 21696476 25114414 27363466 32544714 37671621 41045199 50228828 54726932 65089428 70513547 75343242 82090398 141027094 150686484 164180796 211540641 282054188 423081282 846162564 916676111 1833352222 2750028333 3666704444 5500056666 11000113332