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1312311233232 = 243273312432841
BaseRepresentation
bin10011000110001011110…
…110000100101011010000
311122110022020002220022100
4103012023312010223100
5133000103133430412
62442511212040400
7163545203301546
oct23061366045320
94573266086270
101312311233232
1146660352aa0a
12192402463100
139699a890a2c
1447732661d96
1524209b72edc
hex1318bd84ad0

1312311233232 has 60 divisors (see below), whose sum is σ = 3677659529284. Its totient is φ = 436840266240.

The previous prime is 1312311233213. The next prime is 1312311233273. The reversal of 1312311233232 is 2323321132131.

1312311233232 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 311 + 23 + 323 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1196477194896 + 115834038336 = 1093836^2 + 340344^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1312311233196 and 1312311233205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6110869 + ... + 6321972.

Almost surely, 21312311233232 is an apocalyptic number.

1312311233232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312311233232 is an abundant number, since it is smaller than the sum of its proper divisors (2365348296052).

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

1312311233232 is a wasteful number, since it uses less digits than its factorization.

1312311233232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12433588 (or 12433579 counting only the distinct ones).

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

Adding to 1312311233232 its reverse (2323321132131), we get a palindrome (3635632365363).

The spelling of 1312311233232 in words is "one trillion, three hundred twelve billion, three hundred eleven million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 733 1466 2199 2932 4398 5864 6597 8796 11728 13194 17592 26388 35184 52776 105552 12432841 24865682 37298523 49731364 74597046 99462728 111895569 149194092 198925456 223791138 298388184 447582276 596776368 895164552 1790329104 9113272453 18226544906 27339817359 36453089812 54679634718 72906179624 82019452077 109359269436 145812359248 164038904154 218718538872 328077808308 437437077744 656155616616 1312311233232