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1312231321332 = 2232291600178553
BaseRepresentation
bin10011000110000111000…
…101001110111011110100
311122110002122201221210100
4103012013011032323310
5132444422204240312
62442455235154100
7163543213123341
oct23060705167364
94573078657710
101312231321332
11466572409a18
1219239b745930
1396987161799
1447725bbd7c8
1524202b3a5dc
hex1318714eef4

1312231321332 has 72 divisors (see below), whose sum is σ = 3431667624840. Its totient is φ = 422295552000.

The previous prime is 1312231321321. The next prime is 1312231321333. The reversal of 1312231321332 is 2331231322131.

1312231321332 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 3 + 1 + 321 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 172196781156 + 1140034540176 = 414966^2 + 1067724^2 .

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 = 1312231321296 and 1312231321305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312231321333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16665768 + ... + 16744320.

It is an arithmetic number, because the mean of its divisors is an integer number (47662050345).

Almost surely, 21312231321332 is an apocalyptic number.

1312231321332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312231321332 is an abundant number, since it is smaller than the sum of its proper divisors (2119436303508).

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

1312231321332 is a wasteful number, since it uses less digits than its factorization.

1312231321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94593 (or 94588 counting only the distinct ones).

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

Adding to 1312231321332 its reverse (2331231322131), we get a palindrome (3643462643463).

The spelling of 1312231321332 in words is "one trillion, three hundred twelve billion, two hundred thirty-one million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 16001 32002 48003 64004 78553 96006 144009 157106 192012 235659 288018 314212 464029 471318 576036 706977 928058 942636 1392087 1413954 1856116 2278037 2784174 2827908 4176261 4556074 5568348 6834111 8352522 9112148 13668222 16705044 20502333 27336444 41004666 82009332 1256926553 2513853106 3770779659 5027706212 7541559318 11312338977 15083118636 22624677954 36450870037 45249355908 72901740074 109352610111 145803480148 218705220222 328057830333 437410440444 656115660666 1312231321332