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13130210333040 = 2435292718691223
BaseRepresentation
bin1011111100010001110110…
…0001011101000101110000
31201111020100221012210120220
42333010131201131011300
53210111132321124130
643531534011533040
72523424565230533
oct277043541350560
951436327183526
1013130210333040
11420254447a189
121580880a5a180
137432342c4568
14335711402a1a
1517b830be6410
hexbf11d85d170

13130210333040 has 80 divisors (see below), whose sum is σ = 40717560480768. Its totient is φ = 3500192996608.

The previous prime is 13130210332991. The next prime is 13130210333057. The reversal of 13130210333040 is 4033301203131.

It is a happy number.

13130210333040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13130210333040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8643132 + ... + 10048091.

Almost surely, 213130210333040 is an apocalyptic number.

13130210333040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130210333040 is an abundant number, since it is smaller than the sum of its proper divisors (27587350147728).

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

13130210333040 is a wasteful number, since it uses less digits than its factorization.

13130210333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18694166 (or 18694160 counting only the distinct ones).

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

Adding to 13130210333040 its reverse (4033301203131), we get a palindrome (17163511536171).

The spelling of 13130210333040 in words is "thirteen trillion, one hundred thirty billion, two hundred ten million, three hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2927 5854 8781 11708 14635 17562 23416 29270 35124 43905 46832 58540 70248 87810 117080 140496 175620 234160 351240 702480 18691223 37382446 56073669 74764892 93456115 112147338 149529784 186912230 224294676 280368345 299059568 373824460 448589352 560736690 747648920 897178704 1121473380 1495297840 2242946760 4485893520 54709209721 109418419442 164127629163 218836838884 273546048605 328255258326 437673677768 547092097210 656510516652 820638145815 875347355536 1094184194420 1313021033304 1641276291630 2188368388840 2626042066608 3282552583260 4376736777680 6565105166520 13130210333040