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11212302304 = 25731079547
BaseRepresentation
bin10100111000100111…
…00010011111100000
31001221101220222020201
422130103202133200
5140430322133204
65052330314544
7544564666000
oct123423423740
931841828221
1011212302304
114834063745
12220ab88a54
131098bcb408
14785176000
154595289a4
hex29c4e27e0

11212302304 has 96 divisors (see below), whose sum is σ = 25985836800. Its totient is φ = 4759864704.

The previous prime is 11212302293. The next prime is 11212302307. The reversal of 11212302304 is 40320321211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212302307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169659 + ... + 1179205.

It is an arithmetic number, because the mean of its divisors is an integer number (270685800).

Almost surely, 211212302304 is an apocalyptic number.

11212302304 is a gapful number since it is divisible by the number (14) 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 11212302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12992918400).

11212302304 is an abundant number, since it is smaller than the sum of its proper divisors (14773534496).

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

11212302304 is an equidigital number, since it uses as much as digits as its factorization.

11212302304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9685 (or 9663 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11212302304 its reverse (40320321211), we get a palindrome (51532623515).

The spelling of 11212302304 in words is "eleven billion, two hundred twelve million, three hundred two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 107 112 196 214 224 343 392 428 686 749 784 856 1372 1498 1568 1712 2744 2996 3424 5243 5488 5992 9547 10486 10976 11984 19094 20972 23968 36701 38188 41944 66829 73402 76376 83888 133658 146804 152752 167776 267316 293608 305504 467803 534632 587216 935606 1021529 1069264 1174432 1871212 2043058 2138528 3274621 3742424 4086116 6549242 7150703 7484848 8172232 13098484 14301406 14969696 16344464 26196968 28602812 32688928 50054921 52393936 57205624 100109842 104787872 114411248 200219684 228822496 350384447 400439368 700768894 800878736 1401537788 1601757472 2803075576 5606151152 11212302304