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331131122202013 = 72385718289131221
BaseRepresentation
bin100101101001010010111100…
…0111010011011010110011101
31121102102211022020121210012121
41023102211320322123112131
5321400223014240431023
63132131312033502541
7126514301616225550
oct11322457072332635
91542384266553177
10331131122202013
1196565a13a04581
123117b51aa11a51
131129c6b9339883
145baab90772697
1528437314d1d5d
hex12d2978e9b59d

331131122202013 has 32 divisors (see below), whose sum is σ = 395374699399680. Its totient is φ = 271152705669120.

The previous prime is 331131122201953. The next prime is 331131122202029. The reversal of 331131122202013 is 310202221131133.

It is a cyclic number.

It is not a de Polignac number, because 331131122202013 - 213 = 331131122193821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331131122202313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2523395743 + ... + 2523526963.

It is an arithmetic number, because the mean of its divisors is an integer number (12355459356240).

Almost surely, 2331131122202013 is an apocalyptic number.

It is an amenable number.

331131122202013 is a deficient number, since it is larger than the sum of its proper divisors (64243577197667).

331131122202013 is a wasteful number, since it uses less digits than its factorization.

331131122202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150397.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 331131122202013 its reverse (310202221131133), we get a palindrome (641333343333146).

The spelling of 331131122202013 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, one hundred twenty-two million, two hundred two thousand, thirteen".

Divisors: 1 7 23 161 857 5999 18289 19711 128023 131221 137977 420647 918547 2944529 3018083 15673673 21126581 109715711 112456397 360494479 787194779 2399900869 2523461353 2586497131 16799306083 18105479917 55197719987 386384039909 2056715044733 14397005313131 47304446028859 331131122202013