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1312231332312 = 233318301331957
BaseRepresentation
bin10011000110000111000…
…101010001100111011000
311122110002122202111212000
4103012013011101213120
5132444422210113222
62442455235321000
7163543213200345
oct23060705214730
94573078674760
101312231332312
1146657241719a
1219239b750160
1396987166794
1447725bc37cc
1524202b3d9ac
hex131871519d8

1312231332312 has 64 divisors (see below), whose sum is σ = 3645297189600. Its totient is φ = 437385225600.

The previous prime is 1312231332281. The next prime is 1312231332319. The reversal of 1312231332312 is 2132331322131.

1312231332312 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 313 + 32 + 312 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312231332319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3787038 + ... + 4118994.

Almost surely, 21312231332312 is an apocalyptic number.

1312231332312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312231332312 is an abundant number, since it is smaller than the sum of its proper divisors (2333065857288).

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

1312231332312 is a wasteful number, since it uses less digits than its factorization.

1312231332312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350273 (or 350263 counting only the distinct ones).

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

Adding to 1312231332312 its reverse (2132331322131), we get a palindrome (3444562654443).

The spelling of 1312231332312 in words is "one trillion, three hundred twelve billion, two hundred thirty-one million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 18301 36602 54903 73204 109806 146408 164709 219612 329418 331957 439224 494127 658836 663914 988254 995871 1317672 1327828 1976508 1991742 2655656 2987613 3953016 3983484 5975226 7966968 8962839 11950452 17925678 23900904 35851356 71702712 6075145057 12150290114 18225435171 24300580228 36450870342 48601160456 54676305513 72901740684 109352611026 145803481368 164028916539 218705222052 328057833078 437410444104 656115666156 1312231332312