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13033223322132 = 22313235171827307
BaseRepresentation
bin1011110110101000100010…
…1001010111101000010100
31201010222000202001011100210
42331222020221113220110
53202014020132302012
643415214035405420
72513422265234016
oct275521051275024
951128022034323
1013033223322132
1141753a4876412
121565b14153870
13737048a96600
14330b505aa1b6
1517905626923c
hexbda88a57a14

13033223322132 has 72 divisors (see below), whose sum is σ = 32939477943456. Its totient is φ = 4009080127104.

The previous prime is 13033223322121. The next prime is 13033223322173. The reversal of 13033223322132 is 23122332233031.

It is a self number, because there is not a number n which added to its sum of digits gives 13033223322132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6218823 + ... + 8046129.

Almost surely, 213033223322132 is an apocalyptic number.

13033223322132 is a gapful number since it is divisible by the number (12) 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 13033223322132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16469738971728).

13033223322132 is an abundant number, since it is smaller than the sum of its proper divisors (19906254621324).

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

13033223322132 is a wasteful number, since it uses less digits than its factorization.

13033223322132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830857 (or 1830842 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 13033223322132 its reverse (23122332233031), we get a palindrome (36155555555163).

The spelling of 13033223322132 in words is "thirteen trillion, thirty-three billion, two hundred twenty-three million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 3517 7034 10551 14068 21102 42204 45721 91442 137163 182884 274326 548652 594373 1188746 1783119 1827307 2377492 3566238 3654614 5481921 7132476 7309228 10963842 21927684 23754991 47509982 71264973 95019964 142529946 285059892 308814883 617629766 926444649 1235259532 1852889298 3705778596 6426638719 12853277438 19279916157 25706554876 38559832314 77119664628 83546303347 167092606694 250638910041 334185213388 501277820082 1002555640164 1086101943511 2172203887022 3258305830533 4344407774044 6516611661066 13033223322132