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11301302112 = 2531573112411
BaseRepresentation
bin10101000011001110…
…00010111101100000
31002011121101122000220
422201213002331200
5141121113131422
65105230043040
7550025324442
oct124147027540
932147348026
1011301302112
11487a321601
122234949480
1310b1490019
14792d02492
15462258e5c
hex2a19c2f60

11301302112 has 96 divisors (see below), whose sum is σ = 29963291904. Its totient is φ = 3729523200.

The previous prime is 11301302107. The next prime is 11301302141. The reversal of 11301302112 is 21120310311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11301302091 and 11301302100.

It is a congruent number.

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, 4686187 + ... + 4688597.

It is an arithmetic number, because the mean of its divisors is an integer number (312117624).

Almost surely, 211301302112 is an apocalyptic number.

11301302112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11301302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981645952).

11301302112 is an abundant number, since it is smaller than the sum of its proper divisors (18661989792).

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

11301302112 is a wasteful number, since it uses less digits than its factorization.

11301302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11301302112 its reverse (21120310311), we get a palindrome (32421612423).

The spelling of 11301302112 in words is "eleven billion, three hundred one million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 311 314 471 622 628 933 942 1244 1256 1866 1884 2411 2488 2512 3732 3768 4822 4976 5024 7233 7464 7536 9644 9952 14466 14928 15072 19288 28932 29856 38576 48827 57864 77152 97654 115728 146481 195308 231456 292962 378527 390616 585924 749821 757054 781232 1135581 1171848 1499642 1514108 1562464 2249463 2271162 2343696 2999284 3028216 4498926 4542324 4687392 5998568 6056432 8997852 9084648 11997136 12112864 17995704 18169296 23994272 35991408 36338592 71982816 117721897 235443794 353165691 470887588 706331382 941775176 1412662764 1883550352 2825325528 3767100704 5650651056 11301302112