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1100312303220 = 223251310128316451
BaseRepresentation
bin10000000000101111101…
…110010101011001110100
310220012002122201102012200
4100000233232111121310
5121011414422200340
62201250531144500
7142331523155364
oct20005756253164
93805078642180
101100312303220
11394704679029
121592b8445130
137c9b36c3090
143b380b609a4
151d94d0e0330
hex1002fb95674

1100312303220 has 288 divisors, whose sum is σ = 3642989261184. Its totient is φ = 267200640000.

The previous prime is 1100312303203. The next prime is 1100312303291. The reversal of 1100312303220 is 223032130011.

1100312303220 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 312 + 30 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1100312303193 and 1100312303202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66875995 + ... + 66892445.

It is an arithmetic number, because the mean of its divisors is an integer number (12649268268).

Almost surely, 21100312303220 is an apocalyptic number.

1100312303220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100312303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821494630592).

1100312303220 is an abundant number, since it is smaller than the sum of its proper divisors (2542676957964).

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

1100312303220 is a wasteful number, since it uses less digits than its factorization.

1100312303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16863 (or 16858 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1100312303220 its reverse (223032130011), we get a palindrome (1323344433231).

The spelling of 1100312303220 in words is "one trillion, one hundred billion, three hundred twelve million, three hundred three thousand, two hundred twenty".