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13103503360 = 21154312969
BaseRepresentation
bin11000011010000011…
…11001100000000000
31020211012112221101021
430031001321200000
5203313444101420
610004125315224
7642500640463
oct141501714000
936735487337
1013103503360
11561464a022
122658405b14
13130a970cac
148c43cd2da
1551a5997aa
hex30d079800

13103503360 has 96 divisors (see below), whose sum is σ = 31524292800. Its totient is φ = 5227479040.

The previous prime is 13103503339. The next prime is 13103503373. The reversal of 13103503360 is 6330530131.

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 7 ways as a sum of consecutive naturals, for example, 4411956 + ... + 4414924.

It is an arithmetic number, because the mean of its divisors is an integer number (328378050).

Almost surely, 213103503360 is an apocalyptic number.

13103503360 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 13103503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15762146400).

13103503360 is an abundant number, since it is smaller than the sum of its proper divisors (18420789440).

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

13103503360 is an equidigital number, since it uses as much as digits as its factorization.

13103503360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 25.

The spelling of 13103503360 in words is "thirteen billion, one hundred three million, five hundred three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 431 512 640 862 1024 1280 1724 2048 2155 2560 2969 3448 4310 5120 5938 6896 8620 10240 11876 13792 14845 17240 23752 27584 29690 34480 47504 55168 59380 68960 95008 110336 118760 137920 190016 220672 237520 275840 380032 441344 475040 551680 760064 882688 950080 1103360 1279639 1520128 1900160 2206720 2559278 3040256 3800320 4413440 5118556 6080512 6398195 7600640 10237112 12796390 15201280 20474224 25592780 30402560 40948448 51185560 81896896 102371120 163793792 204742240 327587584 409484480 655175168 818968960 1310350336 1637937920 2620700672 3275875840 6551751680 13103503360