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13104322304320 = 2651319715990241
BaseRepresentation
bin1011111010110001011001…
…1110011101100101000000
31201101202112202022200101101
42332230112132131211000
53204200123002214240
643512013105344144
72521520215510252
oct276542636354500
951352482280341
1013104322304320
1141a256a348025
121577857038054
13740969ac6580
14334377137cd2
1517ad180ae39a
hexbeb1679d940

13104322304320 has 112 divisors (see below), whose sum is σ = 33775612527888. Its totient is φ = 4813957693440.

The previous prime is 13104322304237. The next prime is 13104322304321. The reversal of 13104322304320 is 2340322340131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 73146447936 + 13031175856384 = 270456^2 + 3609872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13104322304321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7175601 + ... + 8814640.

It is an arithmetic number, because the mean of its divisors is an integer number (301567968999).

Almost surely, 213104322304320 is an apocalyptic number.

13104322304320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13104322304320 is an abundant number, since it is smaller than the sum of its proper divisors (20671290223568).

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

13104322304320 is a wasteful number, since it uses less digits than its factorization.

13104322304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15990468 (or 15990458 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13104322304320 its reverse (2340322340131), we get a palindrome (15444644644451).

The spelling of 13104322304320 in words is "thirteen trillion, one hundred four billion, three hundred twenty-two million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 197 208 260 320 394 416 520 788 832 985 1040 1576 1970 2080 2561 3152 3940 4160 5122 6304 7880 10244 12608 12805 15760 20488 25610 31520 40976 51220 63040 81952 102440 163904 204880 409760 819520 15990241 31980482 63960964 79951205 127921928 159902410 207873133 255843856 319804820 415746266 511687712 639609640 831492532 1023375424 1039365665 1279219280 1662985064 2078731330 2558438560 3150077477 3325970128 4157462660 5116877120 6300154954 6651940256 8314925320 12600309908 13303880512 15750387385 16629850640 25200619816 31500774770 33259701280 40951007201 50401239632 63001549540 66519402560 81902014402 100802479264 126003099080 163804028804 201604958528 204755036005 252006198160 327608057608 409510072010 504012396320 655216115216 819020144020 1008024792640 1310432230432 1638040288040 2620864460864 3276080576080 6552161152160 13104322304320