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13220130114213 = 31167157373102103
BaseRepresentation
bin1100000001100000110100…
…1010001100101010100101
31201210211110121010222011120
43000120031022030222211
53213044311302123323
644041124404524153
72533060101610131
oct300301512145245
951724417128146
1013220130114213
11423769788a720
1215961969b0659
1374b86460a979
14339c017bc3c1
1517dd44ec95e3
hexc060d28caa5

13220130114213 has 64 divisors (see below), whose sum is σ = 19693440509952. Its totient is φ = 7821241908480.

The previous prime is 13220130114209. The next prime is 13220130114221. The reversal of 13220130114213 is 31241103102231.

It is not a de Polignac number, because 13220130114213 - 22 = 13220130114209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220130114413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129427320 + ... + 129529422.

It is an arithmetic number, because the mean of its divisors is an integer number (307710007968).

Almost surely, 213220130114213 is an apocalyptic number.

It is an amenable number.

13220130114213 is a deficient number, since it is larger than the sum of its proper divisors (6473310395739).

13220130114213 is a wasteful number, since it uses less digits than its factorization.

13220130114213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102714.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13220130114213 its reverse (31241103102231), we get a palindrome (44461233216444).

The spelling of 13220130114213 in words is "thirteen trillion, two hundred twenty billion, one hundred thirty million, one hundred fourteen thousand, two hundred thirteen".

Divisors: 1 3 11 33 67 157 201 373 471 737 1119 1727 2211 4103 5181 10519 12309 24991 31557 58561 74973 102103 115709 175683 274901 306309 347127 644171 824703 1123133 1932513 3369399 3923587 6840901 11770761 16030171 20522703 38084419 43159457 48090513 75249911 114253257 129478371 176331881 225749733 418928609 528995643 1074021457 1256785827 2551656073 3222064371 5979253783 7654968219 11814236027 17937761349 28068216803 35442708081 65771791613 84204650409 197315374839 400610003461 1201830010383 4406710038071 13220130114213