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11330435232 = 2532131300319
BaseRepresentation
bin10101000110101100…
…01011100010100000
31002020122012202011100
422203112023202200
5141201042411412
65112150314400
7550531052604
oct124326134240
932218182140
1011330435232
11489480a766
122242658a00
1310b752055c
14796b27504
15464ab0edc
hex2a358b8a0

11330435232 has 72 divisors (see below), whose sum is σ = 32466994560. Its totient is φ = 3747968640.

The previous prime is 11330435231. The next prime is 11330435269. The reversal of 11330435232 is 23253403311.

11330435232 is a `hidden beast` number, since 1 + 1 + 3 + 304 + 352 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 11330435196 and 11330435205.

It is not an unprimeable number, because it can be changed into a prime (11330435231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112432 + ... + 187887.

It is an arithmetic number, because the mean of its divisors is an integer number (450930480).

Almost surely, 211330435232 is an apocalyptic number.

11330435232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11330435232 is an abundant number, since it is smaller than the sum of its proper divisors (21136559328).

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

11330435232 is a wasteful number, since it uses less digits than its factorization.

11330435232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300466 (or 300455 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 11330435232 its reverse (23253403311), we get a palindrome (34583838543).

The spelling of 11330435232 in words is "eleven billion, three hundred thirty million, four hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 9432 12576 18864 37728 300319 600638 900957 1201276 1801914 2402552 2702871 3603828 4805104 5405742 7207656 9610208 10811484 14415312 21622968 28830624 39341789 43245936 78683578 86491872 118025367 157367156 236050734 314734312 354076101 472101468 629468624 708152202 944202936 1258937248 1416304404 1888405872 2832608808 3776811744 5665217616 11330435232