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13035010500 = 22325310328123
BaseRepresentation
bin11000010001111001…
…00111100111000100
31020122102200010211200
430020330213213010
5203143430314000
65553241302500
7641006522031
oct141074474704
936572603750
1013035010500
115589a18356
122639494a30
1312c970c485
148b9280388
1551456a500
hex308f279c4

13035010500 has 144 divisors (see below), whose sum is σ = 41521823616. Its totient is φ = 3442132800.

The previous prime is 13035010463. The next prime is 13035010531. The reversal of 13035010500 is 501053031.

It is a happy number.

13035010500 is a `hidden beast` number, since 130 + 35 + 0 + 1 + 0 + 500 = 666.

It is a super-2 number, since 2×130350105002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 449439 + ... + 477561.

Almost surely, 213035010500 is an apocalyptic number.

13035010500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13035010500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20760911808).

13035010500 is an abundant number, since it is smaller than the sum of its proper divisors (28486813116).

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

13035010500 is a wasteful number, since it uses less digits than its factorization.

13035010500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28251 (or 28236 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

Adding to 13035010500 its reverse (501053031), we get a palindrome (13536063531).

The spelling of 13035010500 in words is "thirteen billion, thirty-five million, ten thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 103 125 150 180 206 225 250 300 309 375 412 450 500 515 618 750 900 927 1030 1125 1236 1500 1545 1854 2060 2250 2575 3090 3708 4500 4635 5150 6180 7725 9270 10300 12875 15450 18540 23175 25750 28123 30900 38625 46350 51500 56246 77250 84369 92700 112492 115875 140615 154500 168738 231750 253107 281230 337476 421845 463500 506214 562460 703075 843690 1012428 1265535 1406150 1687380 2109225 2531070 2812300 2896669 3515375 4218450 5062140 5793338 6327675 7030750 8436900 8690007 10546125 11586676 12655350 14061500 14483345 17380014 21092250 25310700 26070021 28966690 31638375 34760028 42184500 43450035 52140042 57933380 63276750 72416725 86900070 104280084 126553500 130350105 144833450 173800140 217250175 260700210 289666900 362083625 434500350 521400420 651750525 724167250 869000700 1086250875 1303501050 1448334500 2172501750 2607002100 3258752625 4345003500 6517505250 13035010500