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1106369320770 = 233572631132529
BaseRepresentation
bin10000000110011000110…
…000000001011101000010
310220202201210001210021000
4100012120300001131002
5121111321021231040
62204131542112430
7142634602026600
oct20063060013502
93822653053230
101106369320770
11397232702a5a
1215a508a1b716
138043a53342c
143b797372870
151dba4c3c130
hex10198c01742

1106369320770 has 192 divisors, whose sum is σ = 3437467718400. Its totient is φ = 252481743360.

The previous prime is 1106369320759. The next prime is 1106369320789. The reversal of 1106369320770 is 770239636011.

1106369320770 is a `hidden beast` number, since 1 + 1 + 0 + 636 + 9 + 3 + 2 + 0 + 7 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8281866 + ... + 8414394.

It is an arithmetic number, because the mean of its divisors is an integer number (17903477700).

Almost surely, 21106369320770 is an apocalyptic number.

1106369320770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106369320770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718733859200).

1106369320770 is an abundant number, since it is smaller than the sum of its proper divisors (2331098397630).

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

1106369320770 is a wasteful number, since it uses less digits than its factorization.

1106369320770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133190 (or 133177 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 1106369320770 in words is "one trillion, one hundred six billion, three hundred sixty-nine million, three hundred twenty thousand, seven hundred seventy".