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11313011320 = 23513202710733
BaseRepresentation
bin10101000100100111…
…01101101001111000
31002012102102112001021
422202103231221320
5141132112330240
65110325032224
7550230003202
oct124223555170
932172375037
1011313011320
114885999936
122238855674
1310b3a2c850
147946ad772
154632bd54a
hex2a24eda78

11313011320 has 64 divisors (see below), whose sum is σ = 27428375520. Its totient is φ = 4174662144.

The previous prime is 11313011309. The next prime is 11313011323. The reversal of 11313011320 is 2311031311.

11313011320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11313011294 and 11313011303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313011323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048674 + ... + 1059406.

Almost surely, 211313011320 is an apocalyptic number.

11313011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11313011320 is an abundant number, since it is smaller than the sum of its proper divisors (16115364200).

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

11313011320 is a wasteful number, since it uses less digits than its factorization.

11313011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12784 (or 12780 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11313011320 its reverse (2311031311), we get a palindrome (13624042631).

The spelling of 11313011320 in words is "eleven billion, three hundred thirteen million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2027 4054 8108 10135 10733 16216 20270 21466 26351 40540 42932 52702 53665 81080 85864 105404 107330 131755 139529 210808 214660 263510 279058 429320 527020 558116 697645 1054040 1116232 1395290 2790580 5581160 21755791 43511582 87023164 108778955 174046328 217557910 282825283 435115820 565650566 870231640 1131301132 1414126415 2262602264 2828252830 5656505660 11313011320