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11330022231296 = 28613260927673
BaseRepresentation
bin1010010011011111100111…
…1100110100110100000000
31111010010202201201002000222
42210313321330310310000
52441112341142400141
640032535041202212
72246365340646056
oct244677174646400
944103681632028
1011330022231296
1136790431a3a0a
12132ba01630368
136425550cc962
142b2539a6c1d6
15149abe8d414b
hexa4df9f34d00

11330022231296 has 72 divisors (see below), whose sum is σ = 22662181591560. Its totient is φ = 5653397569536.

The previous prime is 11330022231277. The next prime is 11330022231299. The reversal of 11330022231296 is 69213222003311.

11330022231296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1168820454400 + 10161201776896 = 1081120^2 + 3187664^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330022231299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 409411316 + ... + 409438988.

It is an arithmetic number, because the mean of its divisors is an integer number (314752522105).

Almost surely, 211330022231296 is an apocalyptic number.

11330022231296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11330022231296 is an abundant number, since it is smaller than the sum of its proper divisors (11332159360264).

11330022231296 is an equidigital number, since it uses as much as digits as its factorization.

11330022231296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30911 (or 30897 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 11330022231296 in words is "eleven trillion, three hundred thirty billion, twenty-two million, two hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 613 1226 2452 2609 4904 5218 9808 10436 19616 20872 27673 39232 41744 55346 78464 83488 110692 156928 166976 221384 333952 442768 667904 885536 1599317 1771072 3198634 3542144 6397268 7084288 12794536 16963549 25589072 33927098 51178144 67854196 72198857 102356288 135708392 144397714 204712576 271416784 288795428 409425152 542833568 577590856 1085667136 1155181712 2171334272 2310363424 4342668544 4620726848 9241453696 18482907392 44257899341 88515798682 177031597364 354063194728 708126389456 1416252778912 2832505557824 5665011115648 11330022231296