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100111010001001 = 4728388124673463
BaseRepresentation
bin10110110000110011101001…
…001100000111000001101001
3111010110112000102012212120021
4112300303221030013001221
5101110204322030013001
6552530210232200441
730041532103446106
oct2660635114070151
9433415012185507
10100111010001001
1129997928290a5a
12b28a226839121
1343b257397217c
141aa15821c7aad
15b891b53c1ba1
hex5b0ce9307069

100111010001001 has 32 divisors (see below), whose sum is σ = 102790079336448. Its totient is φ = 97456261605120.

The previous prime is 100111010000941. The next prime is 100111010001007. The reversal of 100111010001001 is 100100010111001.

It is a happy number.

It is not a de Polignac number, because 100111010001001 - 221 = 100111007903849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111010001007) 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, 28908750796 + ... + 28908754258.

It is an arithmetic number, because the mean of its divisors is an integer number (3212189979264).

Almost surely, 2100111010001001 is an apocalyptic number.

It is an amenable number.

100111010001001 is a deficient number, since it is larger than the sum of its proper divisors (2679069335447).

100111010001001 is a wasteful number, since it uses less digits than its factorization.

100111010001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141.

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

Adding to 100111010001001 its reverse (100100010111001), we get a palindrome (200211020112002).

The spelling of 100111010001001 in words is "one hundred trillion, one hundred eleven billion, ten million, one thousand, one".

Divisors: 1 47 283 881 2467 3463 13301 41407 115949 162761 249323 698161 980029 2173427 3050903 8543221 11718181 32813567 46061363 102151069 143392441 401531387 615079841 863405549 2417731543 7526577701 28908752527 40580060803 113633382521 353749151947 2130021489383 100111010001001