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11314433000 = 235313870341
BaseRepresentation
bin10101000100110010…
…01000101111101000
31002012112002202020002
422202121020233220
5141132443324000
65110415322132
7550245044063
oct124231105750
932175082202
1011314433000
11488677aa82
122239220348
1310b4109990
1479495d8da
1546349e8d5
hex2a2648be8

11314433000 has 64 divisors (see below), whose sum is σ = 28512403920. Its totient is φ = 4177632000.

The previous prime is 11314432991. The next prime is 11314433051. The reversal of 11314433000 is 33441311.

It can be written as a sum of positive squares in 8 ways, for example, as 193043236 + 11121389764 = 13894^2 + 105458^2 .

It is a super-2 number, since 2×113144330002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422171 + ... + 448170.

Almost surely, 211314433000 is an apocalyptic number.

11314433000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314433000 is an abundant number, since it is smaller than the sum of its proper divisors (17197970920).

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

11314433000 is a wasteful number, since it uses less digits than its factorization.

11314433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870375 (or 870361 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11314433000 its reverse (33441311), we get a palindrome (11347874311).

The spelling of 11314433000 in words is "eleven billion, three hundred fourteen million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 870341 1740682 3481364 4351705 6962728 8703410 11314433 17406820 21758525 22628866 34813640 43517050 45257732 56572165 87034100 90515464 108792625 113144330 174068200 217585250 226288660 282860825 435170500 452577320 565721650 870341000 1131443300 1414304125 2262886600 2828608250 5657216500 11314433000