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1100110100001 = 3111915182114153
BaseRepresentation
bin10000000000100011101…
…010111111011000100001
310220011120120020102112120
4100000203222333120201
5121011011141200001
62201214505214453
7142323516363543
oct20004352773041
93804516212476
101100110100001
11394610520830
12159260791429
137c980846cc3
143b361d67693
151d93a49d236
hex10023abf621

1100110100001 has 64 divisors (see below), whose sum is σ = 1697719080960. Its totient is φ = 626650560000.

The previous prime is 1100110099961. The next prime is 1100110100051. The reversal of 1100110100001 is 1000010110011.

It is not a de Polignac number, because 1100110100001 - 210 = 1100110098977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100110100051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77722741 + ... + 77736893.

It is an arithmetic number, because the mean of its divisors is an integer number (26526860640).

Almost surely, 21100110100001 is an apocalyptic number.

1100110100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100110100001 is a deficient number, since it is larger than the sum of its proper divisors (597608980959).

1100110100001 is a wasteful number, since it uses less digits than its factorization.

1100110100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15158.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1100110100001 its reverse (1000010110011), we get a palindrome (2100120210012).

The spelling of 1100110100001 in words is "one trillion, one hundred billion, one hundred ten million, one hundred thousand, one".

Divisors: 1 3 11 19 33 57 151 209 453 627 821 1661 2463 2869 4983 8607 9031 14153 15599 27093 31559 42459 46797 94677 123971 155683 171589 268907 371913 467049 514767 806721 1363681 2137103 2355449 2957977 4091043 6411309 7066347 8873931 11619613 23508133 25909939 34858839 40604957 70524399 77729817 121814871 127815743 220772647 383447229 446654527 662317941 1339963581 1754561563 2428499117 5263684689 7285497351 19300177193 33336669697 57900531579 100010009091 366703366667 1100110100001