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13343130062226 = 232231272511011067
BaseRepresentation
bin1100001000101011000010…
…0001110000110110010010
31202020120221200020201200200
43002022300201300312102
53222103212243442401
644213425504400030
72545003126120506
oct302126041606622
952216850221620
1013343130062226
11428487607a118
1215b5ba3316016
1375a33718b9b3
14341b4d316306
15182143513686
hexc22b0870d92

13343130062226 has 96 divisors (see below), whose sum is σ = 30525776805888. Its totient is φ = 4204012428000.

The previous prime is 13343130062219. The next prime is 13343130062239. The reversal of 13343130062226 is 62226003134331.

13343130062226 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 3 + 1 + 3 + 0 + 0 + 622 + 26 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12691545 + ... + 13702611.

It is an arithmetic number, because the mean of its divisors is an integer number (317976841728).

Almost surely, 213343130062226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13343130062226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15262888402944).

13343130062226 is an abundant number, since it is smaller than the sum of its proper divisors (17182646743662).

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

13343130062226 is a wasteful number, since it uses less digits than its factorization.

13343130062226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011476 (or 1011473 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 13343130062226 its reverse (62226003134331), we get a palindrome (75569133196557).

The spelling of 13343130062226 in words is "thirteen trillion, three hundred forty-three billion, one hundred thirty million, sixty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 46 69 127 138 207 251 254 381 414 502 753 762 1143 1506 2259 2286 2921 4518 5773 5842 8763 11546 17319 17526 26289 31877 34638 51957 52578 63754 95631 103914 191262 286893 573786 733171 1011067 1466342 2022134 2199513 3033201 4399026 6066402 6598539 9099603 13197078 18199206 23254541 46509082 69763623 128405509 139527246 209290869 253777817 256811018 385216527 418581738 507555634 761333451 770433054 1155649581 1522666902 2284000353 2311299162 2953326707 4568000706 5836889791 5906653414 8859980121 11673779582 17510669373 17719960242 26579940363 32229782759 35021338746 52532008119 53159880726 64459565518 96689348277 105064016238 193378696554 290068044831 580136089662 741285003457 1482570006914 2223855010371 4447710020742 6671565031113 13343130062226