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10010101111100 = 2252195268474269
BaseRepresentation
bin1001000110101010100010…
…0001010101100100111100
31022102221211011020212022022
42101222220201111210330
52303001141341023400
633142324342535312
72052130431356636
oct221525041254474
938387734225268
1010010101111100
11320a295129322
121158036737538
13577c43a8813c
142686c4891a56
151255bbb24b85
hex91aa885593c

10010101111100 has 36 divisors (see below), whose sum is σ = 22865178331800. Its totient is φ = 3793301472960.

The previous prime is 10010101111037. The next prime is 10010101111141. The reversal of 10010101111100 is 111110101001.

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 11 ways as a sum of consecutive naturals, for example, 2634235235 + ... + 2634239034.

It is an arithmetic number, because the mean of its divisors is an integer number (635143842550).

Almost surely, 210010101111100 is an apocalyptic number.

10010101111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010101111100 is an abundant number, since it is smaller than the sum of its proper divisors (12855077220700).

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

10010101111100 is a wasteful number, since it uses less digits than its factorization.

10010101111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268474302 (or 5268474295 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10010101111100 its reverse (111110101001), we get a palindrome (10121211212101).

The spelling of 10010101111100 in words is "ten trillion, ten billion, one hundred one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 5268474269 10536948538 21073897076 26342371345 52684742690 100101011111 105369485380 131711856725 200202022222 263423713450 400404044444 500505055555 526847426900 1001010111110 2002020222220 2502525277775 5005050555550 10010101111100