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101001001001 = 1797223349787
BaseRepresentation
bin101111000010000100…
…0001111100000101001
3100122200221012110110212
41132010020033200221
53123322224013001
6114222121550505
710203620225525
oct1360410174051
9318627173425
10101001001001
113991a482a5a
12176a9045435
1396a800a424
144c61d8cd85
1529620677bb
hex178420f829

101001001001 has 32 divisors (see below), whose sum is σ = 108978508800. Its totient is φ = 93270859776.

The previous prime is 101001000979. The next prime is 101001001019. The reversal of 101001001001 is 100100100101.

Adding to 101001001001 its reverse (100100100101), we get a palindrome (201101101102).

It can be divided in two parts, 10100100100 and 1, that added together give a palindrome (10100100101).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101001001001 is a prime.

It is a Duffinian number.

101001001001 is a modest number, since divided by 1001001 gives 101 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101001001201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128336330 + ... + 128337116.

It is an arithmetic number, because the mean of its divisors is an integer number (3405578400).

Almost surely, 2101001001001 is an apocalyptic number.

It is an amenable number.

101001001001 is a deficient number, since it is larger than the sum of its proper divisors (7977507799).

101001001001 is a wasteful number, since it uses less digits than its factorization.

101001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473.

The product of its (nonzero) digits is 1, while the sum is 5.

The spelling of 101001001001 in words is "one hundred one billion, one million, one thousand, one".

Divisors: 1 17 97 223 349 787 1649 3791 5933 13379 21631 33853 76339 77827 175501 274663 367727 575501 1297763 1323059 2983517 4669271 7549219 17023597 26642311 61249849 128336723 289401149 452919287 1041247433 5941235353 101001001001