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11221020330 = 2351328112729
BaseRepresentation
bin10100111001101001…
…10010111010101010
31001222000022220010120
422130310302322222
5140440040122310
65053241224110
7545032045662
oct123464627252
931860286116
1011221020330
114838a78723
122211a92036
13109a961600
147863a51a2
1545a19bb70
hex29cd32eaa

11221020330 has 96 divisors (see below), whose sum is σ = 29208029760. Its totient is φ = 2757680640.

The previous prime is 11221020313. The next prime is 11221020359. The reversal of 11221020330 is 3302012211.

It is a super-2 number, since 2×112210203302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4110406 + ... + 4113134.

It is an arithmetic number, because the mean of its divisors is an integer number (304250310).

Almost surely, 211221020330 is an apocalyptic number.

11221020330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221020330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14604014880).

11221020330 is an abundant number, since it is smaller than the sum of its proper divisors (17987009430).

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

11221020330 is a wasteful number, since it uses less digits than its factorization.

11221020330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11221020330 its reverse (3302012211), we get a palindrome (14523032541).

The spelling of 11221020330 in words is "eleven billion, two hundred twenty-one million, twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 811 845 1014 1622 1690 2433 2535 2729 4055 4866 5070 5458 8110 8187 10543 12165 13645 16374 21086 24330 27290 31629 35477 40935 52715 63258 70954 81870 105430 106431 137059 158145 177385 212862 274118 316290 354770 411177 461201 532155 685295 822354 922402 1064310 1370590 1383603 2055885 2213219 2306005 2767206 4111770 4426438 4612010 6639657 6918015 11066095 13279314 13836030 22132190 28771847 33198285 57543694 66396570 86315541 143859235 172631082 287718470 374034011 431577705 748068022 863155410 1122102033 1870170055 2244204066 3740340110 5610510165 11221020330