Search a number
-
+
331132330000013 = 29537129571026167
BaseRepresentation
bin100101101001010011100000…
…0111001110011111010001101
31121102102221102102022021120212
41023102213000321303322031
5321400233002440000023
63132132031541052205
7126514343553312533
oct11322470071637215
91542387372267525
10331132330000013
1196566483757043
123117b7b73b7065
131129c84c631549
145baac66d32153
1528437a255ce78
hex12d29c0e73e8d

331132330000013 has 32 divisors (see below), whose sum is σ = 354049632668160. Its totient is φ = 309158695256320.

The previous prime is 331132329999967. The next prime is 331132330000033. The reversal of 331132330000013 is 310000033231133.

It is a cyclic number.

It is not a de Polignac number, because 331132330000013 - 222 = 331132325805709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331132330000033) 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, 322175456 + ... + 323201622.

It is an arithmetic number, because the mean of its divisors is an integer number (11064051020880).

Almost surely, 2331132330000013 is an apocalyptic number.

It is an amenable number.

331132330000013 is a deficient number, since it is larger than the sum of its proper divisors (22917302668147).

331132330000013 is a wasteful number, since it uses less digits than its factorization.

331132330000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029277.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 331132330000013 its reverse (310000033231133), we get a palindrome (641132363231146).

The spelling of 331132330000013 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, three hundred thirty million, thirteen", and thus it is an aban number.

Divisors: 1 29 53 71 1537 2059 2957 3763 85753 109127 156721 209947 1026167 4544909 6088463 11127191 29758843 54386851 72857857 322688539 1577218679 2112877853 3034375819 3861466421 87996898751 111982526209 160821918407 215440683149 4663835633803 6247779811321 11418356206897 331132330000013