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13113010320 = 243541232503
BaseRepresentation
bin11000011011001100…
…01010100010010000
31020211212102221110220
430031212022202100
5203323412312240
610005105153040
7642644514534
oct141546124220
936755387426
1013113010320
115619a52813
12265b62b780
13130c91c307
148c5785bc4
1551b3265d0
hex30d98a890

13113010320 has 120 divisors (see below), whose sum is σ = 41667267648. Its totient is φ = 3411409920.

The previous prime is 13113010259. The next prime is 13113010327. The reversal of 13113010320 is 2301031131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13113010320.

It is not an unprimeable number, because it can be changed into a prime (13113010327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387189 + ... + 419691.

Almost surely, 213113010320 is an apocalyptic number.

13113010320 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 13113010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20833633824).

13113010320 is an abundant number, since it is smaller than the sum of its proper divisors (28554257328).

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

13113010320 is a wasteful number, since it uses less digits than its factorization.

13113010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32601 (or 32554 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13113010320 its reverse (2301031131), we get a palindrome (15414041451).

The spelling of 13113010320 in words is "thirteen billion, one hundred thirteen million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1681 1968 2460 3280 3362 4920 5043 6724 8405 9840 10086 13448 16810 20172 25215 26896 32503 33620 40344 50430 65006 67240 80688 97509 100860 130012 134480 162515 195018 201720 260024 325030 390036 403440 487545 520048 650060 780072 975090 1300120 1332623 1560144 1950180 2600240 2665246 3900360 3997869 5330492 6663115 7800720 7995738 10660984 13326230 15991476 19989345 21321968 26652460 31982952 39978690 53304920 54637543 63965904 79957380 106609840 109275086 159914760 163912629 218550172 273187715 319829520 327825258 437100344 546375430 655650516 819563145 874200688 1092750860 1311301032 1639126290 2185501720 2622602064 3278252580 4371003440 6556505160 13113010320