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13300112322312 = 23323199121077419
BaseRepresentation
bin1100000110001010110001…
…1110000110111100001000
31202002110220200210010021020
43001202230132012330020
53220402112223303222
644141553125112440
72541621116300244
oct301425436067410
952073820703236
1013300112322312
114268600744452
1215a9798858720
1375626cb5341a
1433da2c045424
15180e76b3165c
hexc18ac786f08

13300112322312 has 64 divisors (see below), whose sum is σ = 34870296960000. Its totient is φ = 4219305862464.

The previous prime is 13300112322283. The next prime is 13300112322317. The reversal of 13300112322312 is 21322321100331.

It is a super-2 number, since 2×133001123223122 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13300112322317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60428862 + ... + 60648557.

It is an arithmetic number, because the mean of its divisors is an integer number (544848390000).

Almost surely, 213300112322312 is an apocalyptic number.

13300112322312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13300112322312 is an abundant number, since it is smaller than the sum of its proper divisors (21570184637688).

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

13300112322312 is a wasteful number, since it uses less digits than its factorization.

13300112322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121077650 (or 121077646 counting only the distinct ones).

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

Adding to 13300112322312 its reverse (21322321100331), we get a palindrome (34622433422643).

The spelling of 13300112322312 in words is "thirteen trillion, three hundred billion, one hundred twelve million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 199 276 398 552 597 796 1194 1592 2388 4577 4776 9154 13731 18308 27462 36616 54924 109848 121077419 242154838 363232257 484309676 726464514 968619352 1452929028 2784780637 2905858056 5569561274 8354341911 11139122548 16708683822 22278245096 24094406381 33417367644 48188812762 66834735288 72283219143 96377625524 144566438286 192755251048 289132876572 554171346763 578265753144 1108342693526 1662514040289 2216685387052 3325028080578 4433370774104 6650056161156 13300112322312