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13011155040 = 2535132085121
BaseRepresentation
bin11000001111000011…
…00111100001100000
31020120202210011022010
430013201213201200
5203121323430130
65551030112520
7640266664422
oct140741474140
936522704263
1013011155040
1155775043a4
1226314ab740
1312c47a9210
148b6030812
155124070b0
hex307867860

13011155040 has 96 divisors (see below), whose sum is σ = 44137862496. Its totient is φ = 3202744320.

The previous prime is 13011154997. The next prime is 13011155063. The reversal of 13011155040 is 4055111031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13011154998 and 13011155016.

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, 1036321 + ... + 1048800.

It is an arithmetic number, because the mean of its divisors is an integer number (459769401).

Almost surely, 213011155040 is an apocalyptic number.

13011155040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13011155040 is an abundant number, since it is smaller than the sum of its proper divisors (31126707456).

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

13011155040 is a wasteful number, since it uses less digits than its factorization.

13011155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085152 (or 2085144 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 13011155040 its reverse (4055111031), we get a palindrome (17066266071).

The spelling of 13011155040 in words is "thirteen billion, eleven million, one hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 2085121 4170242 6255363 8340484 10425605 12510726 16680968 20851210 25021452 27106573 31276815 33361936 41702420 50042904 54213146 62553630 66723872 81319719 83404840 100085808 108426292 125107260 135532865 162639438 166809680 200171616 216852584 250214520 271065730 325278876 333619360 406598595 433705168 500429040 542131460 650557752 813197190 867410336 1000858080 1084262920 1301115504 1626394380 2168525840 2602231008 3252788760 4337051680 6505577520 13011155040