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64135420522101 = 3331237316274073
BaseRepresentation
bin11101001010100101100001…
…11101010010111001110101
322102002021201201200111222000
432211102300331102321311
531401243320123201401
6344223223324125513
716336426336410405
oct1645226075227165
9272067651614860
1064135420522101
1119487751972335
127239a5a696899
1329a2c37555876
1411ba256dca805
157634996e2186
hex3a54b0f52e75

64135420522101 has 96 divisors (see below), whose sum is σ = 98527228652160. Its totient is φ = 41231269244160.

The previous prime is 64135420522099. The next prime is 64135420522111. The reversal of 64135420522101 is 10122502453146.

64135420522101 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 5 + 4 + 20 + 522 + 101 = 666.

It is not a de Polignac number, because 64135420522101 - 21 = 64135420522099 is a prime.

It is a super-2 number, since 2×641354205221012 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64135420522111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15746479801 + ... + 15746483873.

It is an arithmetic number, because the mean of its divisors is an integer number (1026325298460).

Almost surely, 264135420522101 is an apocalyptic number.

It is an amenable number.

64135420522101 is a deficient number, since it is larger than the sum of its proper divisors (34391808130059).

64135420522101 is a wasteful number, since it uses less digits than its factorization.

64135420522101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 64135420522101 its reverse (10122502453146), we get a palindrome (74257922975247).

The spelling of 64135420522101 in words is "sixty-four trillion, one hundred thirty-five billion, four hundred twenty million, five hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 27 31 93 279 373 837 961 1119 1627 2883 3357 4073 4881 8649 10071 11563 12219 14643 25947 34689 36657 43929 50437 104067 109971 126263 151311 312201 358453 378789 453933 606871 1075359 1136367 1361799 1519229 1563547 1820613 3226077 3409101 3914153 4557687 4690641 5461839 6626771 9678231 11742459 13673061 14071923 16385517 18813001 19880313 35227377 41019183 42215769 47096099 56439003 59640939 105682131 141288297 169317009 178922817 205429901 423864891 507951027 583203031 616289703 1271594673 1459979069 1749609093 1848869109 2471785583 4379937207 5248827279 5546607327 6368326931 7415356749 13139811621 15746481837 19104980793 22246070247 39419434863 57314942379 66738210741 76625353073 171944827137 229876059219 689628177657 2068884532971 2375385945263 7126157835789 21378473507367 64135420522101