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11313132030 = 2335159726237
BaseRepresentation
bin10101000100101000…
…01011000111111110
31002012102122122122000
422202110023013332
5141132130211110
65110331403130
7550231015134
oct124224130776
932172578560
1011313132030
114885a715a2
1222388b34a6
1310b3a72785
14794701754
154632e41c0
hex2a250b1fe

11313132030 has 64 divisors (see below), whose sum is σ = 30188393280. Its totient is φ = 3014831232.

The previous prime is 11313131957. The next prime is 11313132031. The reversal of 11313132030 is 3023131311.

It is a happy number.

11313132030 is a `hidden beast` number, since 1 + 1 + 313 + 1 + 320 + 30 = 666.

11313132030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11313131994 and 11313132012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313132031) 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 31 ways as a sum of consecutive naturals, for example, 418072 + ... + 444308.

It is an arithmetic number, because the mean of its divisors is an integer number (471693645).

Almost surely, 211313132030 is an apocalyptic number.

11313132030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11313132030 is an abundant number, since it is smaller than the sum of its proper divisors (18875261250).

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

11313132030 is a wasteful number, since it uses less digits than its factorization.

11313132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27850 (or 27844 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11313132030 its reverse (3023131311), we get a palindrome (14336263341).

It can be divided in two parts, 113131 and 32030, that added together give a square (145161 = 3812).

The spelling of 11313132030 in words is "eleven billion, three hundred thirteen million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1597 3194 4791 7985 9582 14373 15970 23955 26237 28746 43119 47910 52474 71865 78711 86238 131185 143730 157422 215595 236133 262370 393555 431190 472266 708399 787110 1180665 1416798 2361330 3541995 7083990 41900489 83800978 125701467 209502445 251402934 377104401 419004890 628507335 754208802 1131313203 1257014670 1885522005 2262626406 3771044010 5656566015 11313132030