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1312241112441 = 35717389116657
BaseRepresentation
bin10011000110000111101…
…010100101010101111001
311122110010100011101200000
4103012013222211111321
5132444432211044231
62442500225103213
7163543362263010
oct23060752452571
94573110141600
101312241112441
11466577997146
121923a2a87b09
13969891ac23c
144772720ba77
15242039216e6
hex13187aa5579

1312241112441 has 96 divisors (see below), whose sum is σ = 2384750833920. Its totient is φ = 703922835456.

The previous prime is 1312241112421. The next prime is 1312241112451. The reversal of 1312241112441 is 1442111422131.

1312241112441 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 411 + 1 + 244 + 1 = 666.

It is not a de Polignac number, because 1312241112441 - 25 = 1312241112409 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1312241112421) 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, 11190385 + ... + 11307041.

It is an arithmetic number, because the mean of its divisors is an integer number (24841154520).

Almost surely, 21312241112441 is an apocalyptic number.

It is an amenable number.

1312241112441 is a deficient number, since it is larger than the sum of its proper divisors (1072509721479).

1312241112441 is a wasteful number, since it uses less digits than its factorization.

1312241112441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117085 (or 117073 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 1312241112441 its reverse (1442111422131), we get a palindrome (2754352534572).

The spelling of 1312241112441 in words is "one trillion, three hundred twelve billion, two hundred forty-one million, one hundred twelve thousand, four hundred forty-one".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 243 357 389 459 567 1071 1167 1377 1701 2723 3213 3501 4131 6613 8169 9639 10503 19839 24507 28917 31509 46291 59517 73521 94527 116657 138873 178551 220563 349971 416619 535653 661689 816599 1049913 1249857 1606959 1983169 2449797 3149739 3749571 5949507 7349391 9449217 11248713 13882183 17848521 22048173 28347651 41646549 45379573 53545563 66144519 124939647 136138719 160636689 198433557 317657011 374818941 408416157 481910067 771452741 952971033 1124456823 1225248471 2314358223 2858913099 3373370469 3675745413 5400169187 6943074669 8576739297 11027236239 16200507561 20829224007 25730217891 48601522683 62487672021 77190653673 145804568049 187463016063 437413704147 1312241112441