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11023320231 = 32721119199601
BaseRepresentation
bin10100100010000101…
…01000010010100111
31001110020022200120200
422101002220102213
5140033432221411
65021500001543
7540111450600
oct122102502247
931406280520
1011023320231
114747416710
1221778302b3
131068a010c1
14768020da7
15447b48e56
hex2910a84a7

11023320231 has 144 divisors (see below), whose sum is σ = 21411936000. Its totient is φ = 5388768000.

The previous prime is 11023320227. The next prime is 11023320241. The reversal of 11023320231 is 13202332011.

11023320231 is a `hidden beast` number, since 1 + 102 + 332 + 0 + 231 = 666.

It is not a de Polignac number, because 11023320231 - 22 = 11023320227 is a prime.

It is a super-2 number, since 2×110233202312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023320241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18341331 + ... + 18341931.

It is an arithmetic number, because the mean of its divisors is an integer number (148694000).

Almost surely, 211023320231 is an apocalyptic number.

11023320231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11023320231 is a deficient number, since it is larger than the sum of its proper divisors (10388615769).

11023320231 is a wasteful number, since it uses less digits than its factorization.

11023320231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11023320231 its reverse (13202332011), we get a palindrome (24225652242).

The spelling of 11023320231 in words is "eleven billion, twenty-three million, three hundred twenty thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 19 21 33 49 57 63 77 99 133 147 171 199 209 231 399 441 539 597 601 627 693 931 1197 1393 1463 1617 1791 1803 1881 2189 2793 3781 4179 4207 4389 4851 5409 6567 6611 8379 9751 10241 11343 11419 12537 12621 13167 15323 19701 19833 26467 29253 29449 30723 34029 34257 37863 41591 45969 46277 59499 79401 79933 87759 88347 92169 102771 107261 119599 124773 125609 137907 138831 185269 238203 239799 265041 291137 321783 323939 358797 374319 376827 416493 555807 559531 719397 837193 873411 879263 965349 971817 1076391 1130481 1315589 1667421 1678593 2037959 2272381 2511579 2620233 2637789 2915451 3946767 5035779 5860351 6113877 6154841 6817143 7534737 7913367 9209123 11840301 15906667 17581053 18341631 18464523 20451429 24996191 27627369 47720001 52743159 55393569 64463861 74988573 82882107 111346669 143160003 174973337 193391583 224965719 334040007 524920011 580174749 1002120021 1224813359 1574760033 3674440077 11023320231