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11030033322 = 23271171112087
BaseRepresentation
bin10100100010111000…
…01111001110101010
31001110200221202012200
422101130033032222
5140042142031242
65022255521030
7540222510360
oct122134171652
931420852180
1011030033322
114750191320
122179b29176
13106a211849
14768c8b630
1544852304c
hex29170f3aa

11030033322 has 96 divisors (see below), whose sum is σ = 30215337984. Its totient is φ = 2824567200.

The previous prime is 11030033317. The next prime is 11030033419. The reversal of 11030033322 is 22333003011.

11030033322 is a `hidden beast` number, since 1 + 10 + 300 + 33 + 322 = 666.

11030033322 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 junction number, because it is equal to n+sod(n) for n = 11030033295 and 11030033304.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 42363 + ... + 154449.

It is an arithmetic number, because the mean of its divisors is an integer number (314743104).

Almost surely, 211030033322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11030033322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15107668992).

11030033322 is an abundant number, since it is smaller than the sum of its proper divisors (19185304662).

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

11030033322 is a wasteful number, since it uses less digits than its factorization.

11030033322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112184 (or 112181 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11030033322 its reverse (22333003011), we get a palindrome (33363036333).

The spelling of 11030033322 in words is "eleven billion, thirty million, thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 71 77 99 126 142 154 198 213 231 426 462 497 639 693 781 994 1278 1386 1491 1562 2343 2982 4473 4686 5467 7029 8946 10934 14058 16401 32802 49203 98406 112087 224174 336261 672522 784609 1008783 1232957 1569218 2017566 2353827 2465914 3698871 4707654 7061481 7397742 7958177 8630699 11096613 14122962 15916354 17261398 22193226 23874531 25892097 47749062 51784194 55707239 71623593 77676291 87539947 111414478 143247186 155352582 167121717 175079894 262619841 334243434 501365151 525239682 612779629 787859523 1002730302 1225559258 1575719046 1838338887 3676677774 5515016661 11030033322