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13086807120 = 243452019569
BaseRepresentation
bin11000011000000100…
…01101010001010000
31020210001010200110000
430030002031101100
5203300210311440
610002331410000
7642206011422
oct141402152120
936701120400
1013086807120
115606185982
1226528b3900
13130737656a
148c20c4812
15518d9c730
hex30c08d450

13086807120 has 100 divisors (see below), whose sum is σ = 45452442420. Its totient is φ = 3489813504.

The previous prime is 13086807113. The next prime is 13086807143. The reversal of 13086807120 is 2170868031.

It can be written as a sum of positive squares in 2 ways, for example, as 7913169936 + 5173637184 = 88956^2 + 71928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1003305 + ... + 1016264.

Almost surely, 213086807120 is an apocalyptic number.

13086807120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13086807120 is an abundant number, since it is smaller than the sum of its proper divisors (32365635300).

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

13086807120 is a wasteful number, since it uses less digits than its factorization.

13086807120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019594 (or 2019579 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 13086807120 in words is "thirteen billion, eighty-six million, eight hundred seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 2019569 4039138 6058707 8078276 10097845 12117414 16156552 18176121 20195690 24234828 30293535 32313104 36352242 40391380 48469656 54528363 60587070 72704484 80782760 90880605 96939312 109056726 121174140 145408968 161565520 163585089 181761210 218113452 242348280 272641815 290817936 327170178 363522420 436226904 484696560 545283630 654340356 727044840 817925445 872453808 1090567260 1308680712 1454089680 1635850890 2181134520 2617361424 3271701780 4362269040 6543403560 13086807120