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13110324042300 = 22352177136206363
BaseRepresentation
bin1011111011000111110000…
…1101010001101000111100
31201102100001000122120010020
42332301330031101220330
53204244420423323200
643514444423412140
72522122023444522
oct276617415215074
951370030576106
1013110324042300
1141a506a155661
121578a50bb4050
137413b5350414
1433478627a312
1517b069e3bea0
hexbec7c351a3c

13110324042300 has 144 divisors (see below), whose sum is σ = 40729552641792. Its totient is φ = 3244090035200.

The previous prime is 13110324042287. The next prime is 13110324042323. The reversal of 13110324042300 is 324042301131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17741082 + ... + 18465281.

It is an arithmetic number, because the mean of its divisors is an integer number (282844115568).

Almost surely, 213110324042300 is an apocalyptic number.

13110324042300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110324042300 is an abundant number, since it is smaller than the sum of its proper divisors (27619228599492).

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

13110324042300 is a wasteful number, since it uses less digits than its factorization.

13110324042300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36206468 (or 36206461 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13110324042300 its reverse (324042301131), we get a palindrome (13434366343431).

The spelling of 13110324042300 in words is "thirteen trillion, one hundred ten billion, three hundred twenty-four million, forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 71 75 85 100 102 142 150 170 204 213 255 284 300 340 355 425 426 510 710 850 852 1020 1065 1207 1275 1420 1700 1775 2130 2414 2550 3550 3621 4260 4828 5100 5325 6035 7100 7242 10650 12070 14484 18105 21300 24140 30175 36210 60350 72420 90525 120700 181050 362100 36206363 72412726 108619089 144825452 181031815 217238178 362063630 434476356 543095445 615508171 724127260 905159075 1086190890 1231016342 1810318150 1846524513 2172381780 2462032684 2570651773 2715477225 3077540855 3620636300 3693049026 5141303546 5430954450 6155081710 7386098052 7711955319 9232622565 10282607092 10861908900 12310163420 12853258865 15387704275 15423910638 18465245130 25706517730 30775408550 30847821276 36930490260 38559776595 43701080141 46163112825 51413035460 61550817100 64266294325 77119553190 87402160282 92326225650 128532588650 131103240423 154239106380 174804320564 184652451300 192798882975 218505400705 257065177300 262206480846 385597765950 437010801410 524412961692 655516202115 771195531900 874021602820 1092527003525 1311032404230 2185054007050 2622064808460 3277581010575 4370108014100 6555162021150 13110324042300