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1101227698368 = 263271761673931
BaseRepresentation
bin10000000001100110010…
…010010010100011000000
310220021110110012022021200
4100001212102102203000
5121020303242321433
62201521431221200
7142363306664040
oct20014622224300
93807413168250
101101227698368
11395034365a46
12159512b17800
137cacb249c05
143b42a567720
151d9a365d613
hex100664928c0

1101227698368 has 672 divisors, whose sum is σ = 3941156464128. Its totient is φ = 286853529600.

The previous prime is 1101227698321. The next prime is 1101227698409. The reversal of 1101227698368 is 8638967221011.

1101227698368 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 2 + 276 + 9 + 8 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280137363 + ... + 280141293.

Almost surely, 21101227698368 is an apocalyptic number.

1101227698368 is a gapful number since it is divisible by the number (18) 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 1101227698368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970578232064).

1101227698368 is an abundant number, since it is smaller than the sum of its proper divisors (2839928765760).

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

1101227698368 is a wasteful number, since it uses less digits than its factorization.

1101227698368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1101227698368 in words is "one trillion, one hundred one billion, two hundred twenty-seven million, six hundred ninety-eight thousand, three hundred sixty-eight".