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100101010011100 = 2252729151230914143
BaseRepresentation
bin10110110000101010010101…
…001001001011001111011100
3111010102120012111110202021221
4112300222111021023033130
5101110023332030323400
6552521434045503124
730041026226105440
oct2660522511131734
9433376174422257
10100101010011100
112999366658359a
12b2882b5871aa4
1343b163bc89497
141aa0cb4068820
15b88ccc516c1a
hex5b0a9524b3dc

100101010011100 has 288 divisors, whose sum is σ = 258641845862400. Its totient is φ = 32900853888000.

The previous prime is 100101010011097. The next prime is 100101010011143. The reversal of 100101010011100 is 1110010101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7077770629 + ... + 7077784771.

It is an arithmetic number, because the mean of its divisors is an integer number (898061964800).

Almost surely, 2100101010011100 is an apocalyptic number.

100101010011100 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 100101010011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129320922931200).

100101010011100 is an abundant number, since it is smaller than the sum of its proper divisors (158540835851300).

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

100101010011100 is a wasteful number, since it uses less digits than its factorization.

100101010011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16653 (or 16646 counting only the distinct ones).

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

Adding to 100101010011100 its reverse (1110010101001), we get a palindrome (101211020112101).

The spelling of 100101010011100 in words is "one hundred trillion, one hundred one billion, ten million, eleven thousand, one hundred".