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101101111101 = 3283969133781
BaseRepresentation
bin101111000101000011…
…0001000011100111101
3100122221220120120201100
41132022012020130331
53124023341023401
6114240055403313
710206244156644
oct1361206103475
9318856516640
10101101111101
1139970a3a181
1217716683539
1396c298c083
144c713ac35b
15296ac3eb86
hex178a18873d

101101111101 has 12 divisors (see below), whose sum is σ = 146037769020. Its totient is φ = 67399434240.

The previous prime is 101101111031. The next prime is 101101111151. The reversal of 101101111101 is 101111101101.

It can be written as a sum of positive squares in 2 ways, for example, as 90419888601 + 10681222500 = 300699^2 + 103350^2 .

It is not a de Polignac number, because 101101111101 - 29 = 101101110589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101111151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 688831 + ... + 822611.

It is an arithmetic number, because the mean of its divisors is an integer number (12169814085).

Almost surely, 2101101111101 is an apocalyptic number.

It is an amenable number.

101101111101 is a deficient number, since it is larger than the sum of its proper divisors (44936657919).

101101111101 is a wasteful number, since it uses less digits than its factorization.

101101111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217756 (or 217753 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101101111101 its reverse (101111101101), we get a palindrome (202212212202).

It can be divided in two parts, 10110 and 1111101, that added together give a palindrome (1121211).

The spelling of 101101111101 in words is "one hundred one billion, one hundred one million, one hundred eleven thousand, one hundred one".

Divisors: 1 3 9 83969 133781 251907 401343 755721 1204029 11233456789 33700370367 101101111101