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13011012300 = 223521113303287
BaseRepresentation
bin11000001111000010…
…00100101011001100
31020120202111220111110
430013201010223030
5203121304343200
65551023052020
7640265531316
oct140741045314
936522456443
1013011012300
115577417130
122631441010
1312c4759260
148b5dd47b6
155123c9b50
hex307844acc

13011012300 has 144 divisors (see below), whose sum is σ = 44226669312. Its totient is φ = 2911545600.

The previous prime is 13011012293. The next prime is 13011012349. The reversal of 13011012300 is 321011031.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 108744 + ... + 194543.

It is an arithmetic number, because the mean of its divisors is an integer number (307129648).

Almost surely, 213011012300 is an apocalyptic number.

13011012300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13011012300 is an abundant number, since it is smaller than the sum of its proper divisors (31215657012).

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

13011012300 is a wasteful number, since it uses less digits than its factorization.

13011012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303328 (or 303321 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13011012300 its reverse (321011031), we get a palindrome (13332023331).

The spelling of 13011012300 in words is "thirteen billion, eleven million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 14300 21450 42900 303287 606574 909861 1213148 1516435 1819722 3032870 3336157 3639444 3942731 4549305 6065740 6672314 7582175 7885462 9098610 10008471 11828193 13344628 15164350 15770924 16680785 18197220 19713655 20016942 22746525 23656386 30328700 33361570 39427310 40033884 43370041 45493050 47312772 50042355 59140965 66723140 78854620 83403925 86740082 90986100 98568275 100084710 118281930 130110123 166807850 173480164 197136550 200169420 216850205 236563860 250211775 260220246 295704825 333615700 394273100 433700410 500423550 520440492 591409650 650550615 867400820 1000847100 1084251025 1182819300 1301101230 2168502050 2602202460 3252753075 4337004100 6505506150 13011012300