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1135514244312 = 2332723110382509
BaseRepresentation
bin10000100001100001111…
…011000101010011011000
311000112221221101022020200
4100201201323011103120
5122101013121304222
62225351551022200
7145016046552300
oct20414173052330
94015857338220
101135514244312
113a8629208428
121640a150a960
1383103700716
143cd5ddd6600
151e80d75eeac
hex10861ec54d8

1135514244312 has 144 divisors (see below), whose sum is σ = 3692851156800. Its totient is φ = 313967041920.

The previous prime is 1135514244287. The next prime is 1135514244329. The reversal of 1135514244312 is 2134424155311.

1135514244312 is a `hidden beast` number, since 1 + 13 + 55 + 142 + 443 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 5081887 + ... + 5300622.

It is an arithmetic number, because the mean of its divisors is an integer number (25644799700).

Almost surely, 21135514244312 is an apocalyptic number.

1135514244312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1135514244312 is an abundant number, since it is smaller than the sum of its proper divisors (2557336912488).

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

1135514244312 is a wasteful number, since it uses less digits than its factorization.

1135514244312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10382566 (or 10382552 counting only the distinct ones).

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

Adding to 1135514244312 its reverse (2134424155311), we get a palindrome (3269938399623).

The spelling of 1135514244312 in words is "one trillion, one hundred thirty-five billion, five hundred fourteen million, two hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 372 392 434 441 504 558 588 651 744 868 882 1116 1176 1302 1519 1736 1764 1953 2232 2604 3038 3528 3906 4557 5208 6076 7812 9114 12152 13671 15624 18228 27342 36456 54684 109368 10382509 20765018 31147527 41530036 62295054 72677563 83060072 93442581 124590108 145355126 186885162 218032689 249180216 290710252 321857779 373770324 436065378 508742941 581420504 643715558 654098067 747540648 872130756 965573337 1017485882 1287431116 1308196134 1526228823 1744261512 1931146674 2034971764 2253004453 2574862232 2616392268 2896720011 3052457646 3862293348 4069943528 4506008906 4578686469 5232784536 5793440022 6104915292 6759013359 7724586696 9012017812 9157372938 11586880044 12209830584 13518026718 15771031171 18024035624 18314745876 20277040077 23173760088 27036053436 31542062342 36629491752 40554080154 47313093513 54072106872 63084124684 81108160308 94626187026 126168249368 141939280539 162216320616 189252374052 283878561078 378504748104 567757122156 1135514244312