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11333013032 = 23114111512729
BaseRepresentation
bin10101000111000000…
…00000111000101000
31002020211001201020102
422203200000320220
5141202222404112
65112321444532
7550562010215
oct124340007050
932224051212
1011333013032
114896210480
1222434a0748
1310b7c13993
147971d8b0c
15464e1ebc2
hex2a3800e28

11333013032 has 64 divisors (see below), whose sum is σ = 23775897600. Its totient is φ = 5019520000.

The previous prime is 11333013007. The next prime is 11333013047. The reversal of 11333013032 is 23031033311.

It is a junction number, because it is equal to n+sod(n) for n = 11333012995 and 11333013013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4151444 + ... + 4154172.

It is an arithmetic number, because the mean of its divisors is an integer number (371498400).

Almost surely, 211333013032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11333013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11887948800).

11333013032 is an abundant number, since it is smaller than the sum of its proper divisors (12442884568).

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

11333013032 is a wasteful number, since it uses less digits than its factorization.

11333013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 11333013032 its reverse (23031033311), we get a palindrome (34364046343).

The spelling of 11333013032 in words is "eleven billion, three hundred thirty-three million, thirteen thousand, thirty-two".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 451 902 1151 1804 2302 2729 3608 4604 5458 9208 10916 12661 21832 25322 30019 47191 50644 60038 94382 101288 111889 120076 188764 223778 240152 377528 447556 519101 895112 1038202 1230779 2076404 2461558 3141079 4152808 4923116 6282158 9846232 12564316 25128632 34551869 69103738 128784239 138207476 257568478 276414952 515136956 1030273912 1416626629 2833253258 5666506516 11333013032