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11330221302312 = 23311314133766723
BaseRepresentation
bin1010010011100000010111…
…0100001110001000101000
31111010011021121021221010120
42210320011310032020220
52441113243123133222
640033010512043240
72246403306014043
oct244700564161050
944104247257116
1011330221302312
113679135601a10
12132ba58233520
13642587420163
142b255828bc5a
15149ad210815c
hexa4e05d0e228

11330221302312 has 128 divisors (see below), whose sum is σ = 32675383480320. Its totient is φ = 3241605312000.

The previous prime is 11330221302307. The next prime is 11330221302359. The reversal of 11330221302312 is 21320312203311.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 16547818 + ... + 17218905.

It is an arithmetic number, because the mean of its divisors is an integer number (255276433440).

Almost surely, 211330221302312 is an apocalyptic number.

11330221302312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11330221302312 is an abundant number, since it is smaller than the sum of its proper divisors (21345162178008).

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

11330221302312 is a wasteful number, since it uses less digits than its factorization.

11330221302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33766815 (or 33766811 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11330221302312 its reverse (21320312203311), we get a palindrome (32650533505623).

Subtracting 11330221302312 from its reverse (21320312203311), we obtain a palindrome (9990090900999).

The spelling of 11330221302312 in words is "eleven trillion, three hundred thirty billion, two hundred twenty-one million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 41 44 62 66 82 88 93 123 124 132 164 186 246 248 264 328 341 372 451 492 682 744 902 984 1023 1271 1353 1364 1804 2046 2542 2706 2728 3608 3813 4092 5084 5412 7626 8184 10168 10824 13981 15252 27962 30504 41943 55924 83886 111848 167772 335544 33766723 67533446 101300169 135066892 202600338 270133784 371433953 405200676 742867906 810401352 1046768413 1114301859 1384435643 1485735812 2093536826 2228603718 2768871286 2971471624 3140305239 4153306929 4187073652 4457207436 5537742572 6280610478 8306613858 8374147304 8914414872 11075485144 11514452543 12561220956 15228792073 16613227716 23028905086 25122441912 30457584146 33226455432 34543357629 42917504933 45686376219 46057810172 60915168292 69086715258 85835009866 91372752438 92115620344 121830336584 128752514799 138173430516 171670019732 182745504876 257505029598 276346861032 343340039464 365491009752 472092554263 515010059196 944185108526 1030020118392 1416277662789 1888370217052 2832555325578 3776740434104 5665110651156 11330221302312