Search a number
-
+
13111220211312 = 2431933894242059
BaseRepresentation
bin1011111011001011000110…
…0111111000111001110000
31201102102100110221122220010
42332302301213320321300
53204303234333230222
643515113355414520
72522153154656256
oct276626147707160
951372313848803
1013111220211312
1141a548a000703
121579061154440
137414c8c05142
1433482d2ba5d6
1517b0bd95d80c
hexbecb19f8e70

13111220211312 has 80 divisors (see below), whose sum is σ = 35663846832000. Its totient is φ = 4139162641152.

The previous prime is 13111220211283. The next prime is 13111220211317. The reversal of 13111220211312 is 21311202211131.

It is a super-2 number, since 2×131112202113122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111220211317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969739 + ... + 5211797.

It is an arithmetic number, because the mean of its divisors is an integer number (445798085400).

Almost surely, 213111220211312 is an apocalyptic number.

13111220211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13111220211312 is an abundant number, since it is smaller than the sum of its proper divisors (22552626620688).

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

13111220211312 is a wasteful number, since it uses less digits than its factorization.

13111220211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245478 (or 4245472 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 13111220211312 its reverse (21311202211131), we get a palindrome (34422422422443).

The spelling of 13111220211312 in words is "thirteen trillion, one hundred eleven billion, two hundred twenty million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 3389 6778 10167 13556 20334 27112 40668 54224 64391 81336 128782 162672 193173 257564 386346 515128 772692 1030256 1545384 3090768 4242059 8484118 12726177 16968236 25452354 33936472 50904708 67872944 80599121 101809416 161198242 203618832 241797363 322396484 483594726 644792968 967189452 1289585936 1934378904 3868757808 14376337951 28752675902 43129013853 57505351804 86258027706 115010703608 172516055412 230021407216 273150421069 345032110824 546300842138 690064221648 819451263207 1092601684276 1638902526414 2185203368552 3277805052828 4370406737104 6555610105656 13111220211312