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331302020203133 = 7296953093002639
BaseRepresentation
bin100101101010100010100001…
…1001110100100001001111101
31121110001011102102100202021122
41023111011003032210021331
5321411023014133000013
63132342014051040325
7126532531623246020
oct11325050316441175
91543034372322248
10331302020203133
1196621441419231
12311a86742a00a5
13112b285333a565
145bb51637a51b7
152847dd4ab1a08
hex12d51433a427d

331302020203133 has 16 divisors (see below), whose sum is σ = 378829877184000. Its totient is φ = 283823948591232.

The previous prime is 331302020203103. The next prime is 331302020203247.

It is a happy number.

331302020203133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331302020203133 - 214 = 331302020186749 is a prime.

It is a super-2 number, since 2×3313020202031332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331302020203103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108835628 + ... + 111838266.

It is an arithmetic number, because the mean of its divisors is an integer number (23676867324000).

Almost surely, 2331302020203133 is an apocalyptic number.

It is an amenable number.

331302020203133 is a deficient number, since it is larger than the sum of its proper divisors (47527856980867).

331302020203133 is a wasteful number, since it uses less digits than its factorization.

331302020203133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010924.

The product of its (nonzero) digits is 5832, while the sum is 26.

The spelling of 331302020203133 in words is "three hundred thirty-one trillion, three hundred two billion, twenty million, two hundred three thousand, one hundred thirty-three".

Divisors: 1 7 2969 5309 20783 37163 3002639 15762421 21018473 110336947 8914835191 15941010451 62403846337 111587073157 47328860029019 331302020203133