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13330020313332 = 2232547823182241
BaseRepresentation
bin1100000111111010001100…
…1000000010100011110100
31202012100010000221111001100
43001332203020002203310
53221344340200011312
644203420553130100
72544030221105322
oct301764310024364
952170100844040
1013330020313332
11427a258a547a8
1215b35449b9930
13759028142028
1434126817cd12
15181b276335dc
hexc1fa32028f4

13330020313332 has 72 divisors (see below), whose sum is σ = 33761441068992. Its totient is φ = 4434624230400.

The previous prime is 13330020313321. The next prime is 13330020313517. The reversal of 13330020313332 is 23331302003331.

13330020313332 is a `hidden beast` number, since 1 + 3 + 3 + 300 + 20 + 3 + 1 + 3 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13330020313296 and 13330020313305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162043732 + ... + 162125972.

It is an arithmetic number, because the mean of its divisors is an integer number (468908903736).

Almost surely, 213330020313332 is an apocalyptic number.

13330020313332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13330020313332 is an abundant number, since it is smaller than the sum of its proper divisors (20431420755660).

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

13330020313332 is a wasteful number, since it uses less digits than its factorization.

13330020313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91029 (or 91024 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 13330020313332 its reverse (23331302003331), we get a palindrome (36661322316663).

The spelling of 13330020313332 in words is "thirteen trillion, three hundred thirty billion, twenty million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 547 1094 1641 2188 3282 4923 6564 8231 9846 16462 19692 24693 32924 49386 74079 82241 98772 148158 164482 246723 296316 328964 493446 740169 986892 1480338 2960676 4502357 9004714 13507071 18009428 27014142 40521213 44985827 54028284 81042426 89971654 134957481 162084852 179943308 269914962 404872443 539829924 676925671 809744886 1353851342 1619489772 2030777013 2707702684 4061554026 6092331039 8123108052 12184662078 24369324156 370278342037 740556684074 1110835026111 1481113368148 2221670052222 3332505078333 4443340104444 6665010156666 13330020313332