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13103122320 = 2432518198781
BaseRepresentation
bin11000011010000000…
…11100011110010000
31020211011211120200200
430031000130132100
5203313344403240
610004113215200
7642464462541
oct141500343620
936734746620
1013103122320
115614409812
122658261500
13130a869722
148c43304c8
1551a521930
hex30d01c790

13103122320 has 60 divisors (see below), whose sum is σ = 44004654876. Its totient is φ = 3494165760.

The previous prime is 13103122297. The next prime is 13103122327. The reversal of 13103122320 is 2322130131.

13103122320 is a `hidden beast` number, since 1 + 31 + 0 + 312 + 2 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10470200976 + 2632921344 = 102324^2 + 51312^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13103122293 and 13103122302.

It is not an unprimeable number, because it can be changed into a prime (13103122327) 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 11 ways as a sum of consecutive naturals, for example, 9098671 + ... + 9100110.

Almost surely, 213103122320 is an apocalyptic number.

13103122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13103122320 is an abundant number, since it is smaller than the sum of its proper divisors (30901532556).

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

13103122320 is a wasteful number, since it uses less digits than its factorization.

13103122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18198800 (or 18198791 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13103122320 its reverse (2322130131), we get a palindrome (15425252451).

It can be divided in two parts, 131031 and 22320, that added together give a palindrome (153351).

The spelling of 13103122320 in words is "thirteen billion, one hundred three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 18198781 36397562 54596343 72795124 90993905 109192686 145590248 163789029 181987810 218385372 272981715 291180496 327578058 363975620 436770744 545963430 655156116 727951240 818945145 873541488 1091926860 1310312232 1455902480 1637890290 2183853720 2620624464 3275780580 4367707440 6551561160 13103122320