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11001114543402 = 23217232373182201
BaseRepresentation
bin1010000000010110010110…
…0001100100010100101010
31102221200210120212100102200
42200011211201210110222
52420220240310342102
635221501532041030
72213542605511104
oct240054541442452
942850716770380
1011001114543402
1135616013a7965
12129810b003176
1361a5292c75a9
142a06575bc574
1514126e46451c
hexa016586452a

11001114543402 has 144 divisors (see below), whose sum is σ = 26453734194888. Its totient is φ = 3292403558400.

The previous prime is 11001114543401. The next prime is 11001114543409. The reversal of 11001114543402 is 20434541110011.

It is a happy number.

11001114543402 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 1 + 114 + 543 + 4 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10620683405721 + 380431137681 = 3258939^2 + 616791^2 .

It is not an unprimeable number, because it can be changed into a prime (11001114543401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60287902 + ... + 60470102.

Almost surely, 211001114543402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001114543402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13226867097444).

11001114543402 is an abundant number, since it is smaller than the sum of its proper divisors (15452619651486).

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

11001114543402 is a wasteful number, since it uses less digits than its factorization.

11001114543402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182645 (or 182619 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11001114543402 its reverse (20434541110011), we get a palindrome (31435655653413).

The spelling of 11001114543402 in words is "eleven trillion, one billion, one hundred fourteen million, five hundred forty-three thousand, four hundred two".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 373 391 414 529 746 782 1058 1119 1173 1587 2238 2346 3174 3357 3519 4761 6341 6714 7038 8579 8993 9522 12682 17158 17986 19023 25737 26979 38046 51474 53958 57069 77211 80937 114138 145843 154422 161874 182201 197317 291686 364402 394634 437529 546603 591951 875058 1093206 1183902 1312587 1639809 1775853 2625174 3097417 3279618 3354389 3551706 4190623 6194834 6708778 8381246 9292251 10063167 12571869 18584502 20126334 25143738 27876753 30189501 37715607 55753506 60379002 67960973 71240591 75431214 96384329 135921946 142481182 192768658 203882919 213721773 289152987 407765838 427443546 578305974 611648757 641165319 867458961 1155336541 1223297514 1282330638 1563102379 1638533593 1734917922 2310673082 3126204758 3277067186 3466009623 4689307137 4915600779 6932019246 9378614274 9831201558 10398028869 14067921411 14746802337 20796057738 26572740443 28135842822 29493604674 35951354717 53145480886 71902709434 79718221329 107854064151 159436442658 215708128302 239154663987 323562192453 478309327974 611173030189 647124384906 1222346060378 1833519090567 3667038181134 5500557271701 11001114543402