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1110010110100 = 225264217172853
BaseRepresentation
bin10000001001110001110…
…000100010000010010100
310221010010111212001022021
4100021301300202002110
5121141300042010400
62205533120542524
7143124041155003
oct20116160420224
93833114761267
101110010110100
11398830850961
1215b164181a44
138089a8c5448
143ba20adcc3a
151dd196a971a
hex10271c22094

1110010110100 has 36 divisors (see below), whose sum is σ = 2408773383324. Its totient is φ = 443994561280.

The previous prime is 1110010110043. The next prime is 1110010110173. The reversal of 1110010110100 is 10110100111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 305928459664 + 804081650436 = 553108^2 + 896706^2 .

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 6335274 + ... + 6508126.

It is an arithmetic number, because the mean of its divisors is an integer number (66910371759).

Almost surely, 21110010110100 is an apocalyptic number.

1110010110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110010110100 is an abundant number, since it is smaller than the sum of its proper divisors (1298763273224).

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

1110010110100 is a wasteful number, since it uses less digits than its factorization.

1110010110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237084 (or 237077 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1110010110100 its reverse (10110100111), we get a palindrome (1120120210211).

The spelling of 1110010110100 in words is "one trillion, one hundred ten billion, ten million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 64217 128434 172853 256868 321085 345706 642170 691412 864265 1284340 1605425 1728530 3210850 3457060 4321325 6421700 8642650 17285300 11100101101 22200202202 44400404404 55500505505 111001011010 222002022020 277502527525 555005055050 1110010110100