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11000313312 = 253557205721
BaseRepresentation
bin10100011111010101…
…10111010111100000
31001101122000211000120
422033222313113200
5140012040011222
65015314520240
7536412056202
oct121752672740
931348024016
1011000313312
11473543222a
12216bb96080
131064007141
14764d52772
15445b0215c
hex28fab75e0

11000313312 has 48 divisors (see below), whose sum is σ = 28927804752. Its totient is φ = 3660170240.

The previous prime is 11000313299. The next prime is 11000313319. The reversal of 11000313312 is 21331300011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 11000313291 and 11000313300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000313319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49389 + ... + 156332.

It is an arithmetic number, because the mean of its divisors is an integer number (602662599).

Almost surely, 211000313312 is an apocalyptic number.

11000313312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000313312 is an abundant number, since it is smaller than the sum of its proper divisors (17927491440).

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

11000313312 is a wasteful number, since it uses less digits than its factorization.

11000313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206291 (or 206283 counting only the distinct ones).

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

Adding to 11000313312 its reverse (21331300011), we get a palindrome (32331613323).

The spelling of 11000313312 in words is "eleven billion, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 557 1114 1671 2228 3342 4456 6684 8912 13368 17824 26736 53472 205721 411442 617163 822884 1234326 1645768 2468652 3291536 4937304 6583072 9874608 19749216 114586597 229173194 343759791 458346388 687519582 916692776 1375039164 1833385552 2750078328 3666771104 5500156656 11000313312