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1100100202201 = 711135967278017
BaseRepresentation
bin10000000000100011000…
…101001110111011011001
310220011112212121120022101
4100000203011032323121
5121011001122432301
62201213513123401
7142323336301150
oct20004305167331
93804485546271
101100100202201
11394605980430
121592593b9561
137c97b78cb10
143b36090c597
151d939695701
hex1002314eed9

1100100202201 has 64 divisors (see below), whose sum is σ = 1524517263360. Its totient is φ = 766256578560.

The previous prime is 1100100202151. The next prime is 1100100202211. The reversal of 1100100202201 is 1022020010011.

It is not a de Polignac number, because 1100100202201 - 29 = 1100100201689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100100202211) 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, 3817945 + ... + 4095961.

It is an arithmetic number, because the mean of its divisors is an integer number (23820582240).

Almost surely, 21100100202201 is an apocalyptic number.

1100100202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100100202201 is a deficient number, since it is larger than the sum of its proper divisors (424417061159).

1100100202201 is a wasteful number, since it uses less digits than its factorization.

1100100202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278174.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1100100202201 its reverse (1022020010011), we get a palindrome (2122120212212).

The spelling of 1100100202201 in words is "one trillion, one hundred billion, one hundred million, two hundred two thousand, two hundred one".

Divisors: 1 7 11 13 59 67 77 91 143 413 469 649 737 767 871 1001 3953 4543 5159 5369 6097 8437 9581 27671 43483 51389 59059 67067 278017 304381 359723 565279 1946119 3058187 3614221 3956953 16403003 18627139 21407309 25299547 39756431 114821021 130389973 180433033 204898529 213239039 242152807 278295017 1099001201 1263031231 1434289703 1492673273 1695069649 2345629429 2663680877 7693008407 12089013211 14287015613 16419406003 18645766139 84623092477 100009109291 157157171743 1100100202201