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13104332013300 = 223521129136931369
BaseRepresentation
bin1011111010110001011100…
…0011011111111011110100
31201101202120102120221121020
42332230113003133323310
53204200132443411200
643512014053421140
72521520364155313
oct276542703377364
951352512527536
1013104332013300
1141a2574879580
12157785a33a7b0
1374096bb15828
1433437854427a
1517ad18d7aea0
hexbeb170dfef4

13104332013300 has 144 divisors (see below), whose sum is σ = 42788314497600. Its totient is φ = 3067262643200.

The previous prime is 13104332013299. The next prime is 13104332013307. The reversal of 13104332013300 is 331023340131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13104332013307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68369985 + ... + 68561384.

It is an arithmetic number, because the mean of its divisors is an integer number (297141072900).

Almost surely, 213104332013300 is an apocalyptic number.

13104332013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13104332013300 is an abundant number, since it is smaller than the sum of its proper divisors (29683982484300).

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

13104332013300 is a wasteful number, since it uses less digits than its factorization.

13104332013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136931426 (or 136931419 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13104332013300 its reverse (331023340131), we get a palindrome (13435355353431).

The spelling of 13104332013300 in words is "thirteen trillion, one hundred four billion, three hundred thirty-two million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 29 30 33 44 50 55 58 60 66 75 87 100 110 116 132 145 150 165 174 220 275 290 300 319 330 348 435 550 580 638 660 725 825 870 957 1100 1276 1450 1595 1650 1740 1914 2175 2900 3190 3300 3828 4350 4785 6380 7975 8700 9570 15950 19140 23925 31900 47850 95700 136931369 273862738 410794107 547725476 684656845 821588214 1369313690 1506245059 1643176428 2053970535 2738627380 3012490118 3423284225 3971009701 4107941070 4518735177 6024980236 6846568450 7531225295 7942019402 8215882140 9037470354 10269852675 11913029103 13693136900 15062450590 15884038804 18074940708 19855048505 20539705350 22593675885 23826058206 30124901180 37656126475 39710097010 41079410700 43681106711 45187351770 47652116412 59565145515 75312252950 79420194020 87362213422 90374703540 99275242525 112968379425 119130291030 131043320133 150624505900 174724426844 198550485050 218405533555 225936758850 238260582060 262086640266 297825727575 397100970100 436811067110 451873517700 524173280532 595651455150 655216600665 873622134220 1092027667775 1191302910300 1310433201330 2184055335550 2620866402660 3276083003325 4368110671100 6552166006650 13104332013300