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1100313320232 = 233731211273679
BaseRepresentation
bin10000000000101111110…
…010001101101100101000
310220012002201122002021210
4100000233302031230220
5121011420202221412
62201251005033120
7142331534622420
oct20005762155450
93805081562253
101100313320232
11394705203135
121592b88557a0
137c9b398ac69
143b380d47480
151d94d24183c
hex1002fc8db28

1100313320232 has 64 divisors (see below), whose sum is σ = 3245163724800. Its totient is φ = 304234096320.

The previous prime is 1100313320221. The next prime is 1100313320237. The reversal of 1100313320232 is 2320233130011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1100313320199 and 1100313320208.

It is not an unprimeable number, because it can be changed into a prime (1100313320237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105631632 + ... + 105642047.

It is an arithmetic number, because the mean of its divisors is an integer number (50705683200).

Almost surely, 21100313320232 is an apocalyptic number.

1100313320232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100313320232 is an abundant number, since it is smaller than the sum of its proper divisors (2144850404568).

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

1100313320232 is a wasteful number, since it uses less digits than its factorization.

1100313320232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211273726 (or 211273722 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1100313320232 its reverse (2320233130011), we get a palindrome (3420546450243).

The spelling of 1100313320232 in words is "one trillion, one hundred billion, three hundred thirteen million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 211273679 422547358 633821037 845094716 1267642074 1478915753 1690189432 2535284148 2957831506 4436747259 5070568296 5915663012 6549484049 8873494518 11831326024 13098968098 17746989036 19648452147 26197936196 35493978072 39296904294 45846388343 52395872392 78593808588 91692776686 137539165029 157187617176 183385553372 275078330058 366771106744 550156660116 1100313320232