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11311303300344 = 2333312557966041
BaseRepresentation
bin1010010010011001111000…
…1101110001010011111000
31111001100110011201212011000
42210212132031301103320
52440311022121102334
640020201353405000
72245133432445255
oct244463615612370
944040404655130
1011311303300344
113671107912043
121328258709760
13640860c62358
142b168197a42c
15149376369299
hexa499e3714f8

11311303300344 has 128 divisors (see below), whose sum is σ = 32435603712000. Its totient is φ = 3648609619200.

The previous prime is 11311303300337. The next prime is 11311303300393. The reversal of 11311303300344 is 44300330311311.

11311303300344 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 13 + 0 + 3 + 300 + 344 = 666.

11311303300344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171243964 + ... + 171310004.

It is an arithmetic number, because the mean of its divisors is an integer number (253403154000).

Almost surely, 211311303300344 is an apocalyptic number.

It is an amenable number.

11311303300344 is an abundant number, since it is smaller than the sum of its proper divisors (21124300411656).

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

11311303300344 is a wasteful number, since it uses less digits than its factorization.

11311303300344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91666 (or 91656 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11311303300344 its reverse (44300330311311), we get a palindrome (55611633611655).

The spelling of 11311303300344 in words is "eleven trillion, three hundred eleven billion, three hundred three million, three hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 25579 51158 66041 76737 102316 132082 153474 198123 204632 230211 264164 306948 396246 460422 528328 594369 613896 690633 792492 792949 920844 1188738 1381266 1584984 1585898 1783107 1841688 2047271 2377476 2378847 2762532 3171796 3566214 4094542 4754952 4757694 5525064 6141813 6343592 7132428 7136541 8189084 9515388 12283626 14264856 14273082 16378168 18425439 19030776 21409623 24567252 28546164 36850878 42819246 49134504 55276317 57092328 73701756 85638492 110552634 147403512 171276984 221105268 442210536 1689262739 3378525478 5067788217 6757050956 10135576434 13514101912 15203364651 20271152868 30406729302 40542305736 45610093953 52367144909 60813458604 91220187906 104734289818 121626917208 157101434727 182440375812 209468579636 314202869454 364880751624 418937159272 471304304181 628405738908 942608608362 1256811477816 1413912912543 1885217216724 2827825825086 3770434433448 5655651650172 11311303300344