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101111110100001 = 3211234567788889
BaseRepresentation
bin10110111111010111000011…
…110011001110010000100001
3111021000010110002222212001200
4112333113003303032100201
5101223101023141200001
6555013445220151413
730204015365152011
oct2677270363162041
9437003402885050
10101111110100001
112a242a877657a1
12b410016238569
1344559768b7591
141ad7b37a49c41
15ba51ea80c086
hex5bf5c3cce421

101111110100001 has 6 divisors (see below), whose sum is σ = 146049381255570. Its totient is φ = 67407406733328.

The previous prime is 101111110099981. The next prime is 101111110100009. The reversal of 101111110100001 is 100001011111101.

Adding to 101111110100001 its reverse (100001011111101), we get a palindrome (201112121211102).

It can be written as a sum of positive squares in only one way, i.e., 74687603555601 + 26423506544400 = 8642199^2 + 5140380^2 .

It is not a de Polignac number, because 101111110100001 - 25 = 101111110099969 is a prime.

It is a super-3 number, since 3×1011111101000013 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11234567788889 = 101111110100001 / (1 + 0 + 1 + 1 + 1 + 1 + 1 + 1 + 0 + 1 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (101111110100009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5617283894436 + ... + 5617283894453.

It is an arithmetic number, because the mean of its divisors is an integer number (24341563542595).

Almost surely, 2101111110100001 is an apocalyptic number.

It is an amenable number.

101111110100001 is a deficient number, since it is larger than the sum of its proper divisors (44938271155569).

101111110100001 is a wasteful number, since it uses less digits than its factorization.

101111110100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11234567788895 (or 11234567788892 counting only the distinct ones).

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

The spelling of 101111110100001 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, one".

Divisors: 1 3 9 11234567788889 33703703366667 101111110100001