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101011001101011 = 32107927611130777
BaseRepresentation
bin10110111101111001110100…
…110101101100101011010011
3111020122120001100020210022100
4112331321310311230223103
5101214431012240213021
6554455451401011443
730163542525541131
oct2675716465545323
9436576040223270
10101011001101011
112a204585852091
12b3b4737a83b83
1344493b16332c1
141ad2d5c334751
15ba27dbc41626
hex5bde74d6cad3

101011001101011 has 24 divisors (see below), whose sum is σ = 147270093285744. Its totient is φ = 66710537199360.

The previous prime is 101011001100991. The next prime is 101011001101103. The reversal of 101011001101011 is 110101100110101.

It is not a de Polignac number, because 101011001101011 - 214 = 101011001084627 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101011001100984 and 101011001101002.

It is not an unprimeable number, because it can be changed into a prime (101011001101511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88763455 + ... + 89894231.

It is an arithmetic number, because the mean of its divisors is an integer number (6136253886906).

Almost surely, 2101011001101011 is an apocalyptic number.

101011001101011 is a deficient number, since it is larger than the sum of its proper divisors (46259092184733).

101011001101011 is a wasteful number, since it uses less digits than its factorization.

101011001101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223651 (or 1223648 counting only the distinct ones).

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

Adding to 101011001101011 its reverse (110101100110101), we get a palindrome (211112101211112).

The spelling of 101011001101011 in words is "one hundred one trillion, eleven billion, one million, one hundred one thousand, eleven".

Divisors: 1 3 9 107 321 963 92761 278283 834849 1130777 3392331 9925427 10176993 29776281 89328843 120993139 362979417 1088938251 104892005297 314676015891 944028047673 11223444566779 33670333700337 101011001101011