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11304310302234 = 23315130718732411
BaseRepresentation
bin1010010001111111110101…
…1001100110011000011010
31111000200101211011202011000
42210133331121212120122
52440202211414132414
640013043425245430
72244465230110545
oct244377531463032
944020354152130
1011304310302234
113669149510064
121326a26793876
1363ccb823b451
142b11bad2385c
151490b7484b09
hexa47fd66661a

11304310302234 has 128 divisors (see below), whose sum is σ = 25393492776960. Its totient is φ = 3727417824000.

The previous prime is 11304310302227. The next prime is 11304310302239. The reversal of 11304310302234 is 43220301340311.

It is a happy number.

11304310302234 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 431 + 0 + 3 + 0 + 223 + 4 = 666.

It is a super-3 number, since 3×113043103022343 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11304310302198 and 11304310302207.

It is not an unprimeable number, because it can be changed into a prime (11304310302239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4688638489 + ... + 4688640899.

It is an arithmetic number, because the mean of its divisors is an integer number (198386662320).

Almost surely, 211304310302234 is an apocalyptic number.

11304310302234 is an abundant number, since it is smaller than the sum of its proper divisors (14089182474726).

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

11304310302234 is a wasteful number, since it uses less digits than its factorization.

11304310302234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11304310302234 its reverse (43220301340311), we get a palindrome (54524611642545).

The spelling of 11304310302234 in words is "eleven trillion, three hundred four billion, three hundred ten million, three hundred two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 151 302 307 453 614 906 921 1359 1842 1873 2411 2718 2763 3746 4077 4822 5526 5619 7233 8154 8289 11238 14466 16578 16857 21699 33714 43398 46357 50571 65097 92714 101142 130194 139071 278142 282823 364061 417213 565646 575011 728122 740177 834426 848469 1092183 1150022 1251639 1480354 1696938 1725033 2184366 2220531 2503278 2545407 3276549 3450066 4441062 4515803 5090814 5175099 6553098 6661593 7636221 9031606 9829647 10350198 13323186 13547409 15272442 15525297 19659294 19984779 27094818 31050594 39969558 40642227 81284454 86826661 111766727 121926681 173653322 223533454 243853362 260479983 335300181 520959966 670600362 681886253 781439949 1005900543 1363772506 1386351521 1562879898 2011801086 2045658759 2344319847 2772703042 3017701629 4091317518 4159054563 4688639694 6035403258 6136976277 8318109126 12273952554 12477163689 18410928831 24954327378 36821857662 37431491067 74862982134 209339079671 418678159342 628017239013 1256034478026 1884051717039 3768103434078 5652155151117 11304310302234