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101101101001 = 1923946494789
BaseRepresentation
bin101111000101000011…
…0000101111111001001
3100122221220120001212021
41132022012011333021
53124023340213001
6114240055244441
710206244115335
oct1361206057711
9318856501767
10101101101001
1139970a3262a
1217716679721
1396c29875b4
144c713a87c5
15296ac3bba1
hex178a185fc9

101101101001 has 16 divisors (see below), whose sum is σ = 106912800000. Its totient is φ = 95338809216.

The previous prime is 101101100983. The next prime is 101101101007. The reversal of 101101101001 is 100101101101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-101101101001 is a prime.

It is a super-2 number, since 2×1011011010012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101101007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21108715 + ... + 21113503.

It is an arithmetic number, because the mean of its divisors is an integer number (6682050000).

Almost surely, 2101101101001 is an apocalyptic number.

It is an amenable number.

101101101001 is a deficient number, since it is larger than the sum of its proper divisors (5811698999).

101101101001 is a wasteful number, since it uses less digits than its factorization.

101101101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9696.

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

Adding to 101101101001 its reverse (100101101101), we get a palindrome (201202202102).

It can be divided in two parts, 10110 and 1101001, that added together give a palindrome (1111111).

The spelling of 101101101001 in words is "one hundred one billion, one hundred one million, one hundred one thousand, one".

Divisors: 1 19 239 4541 4649 4789 88331 90991 1111111 1144571 21111109 21746849 22264061 423017159 5321110579 101101101001