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1100111001197 = 136111549120121
BaseRepresentation
bin10000000000100011101…
…110011011011001101101
310220011120121221012202012
4100000203232123121231
5121011011404014242
62201214540411005
7142323530136125
oct20004356333155
93804517835665
101100111001197
11394610a8691a
12159260b46a65
137c980aa1260
143b36211dc85
151d93a5ca282
hex10023b9b66d

1100111001197 has 16 divisors (see below), whose sum is σ = 1204271098800. Its totient is φ = 998744947200.

The previous prime is 1100111001167. The next prime is 1100111001217. The reversal of 1100111001197 is 7911001110011.

It can be written as a sum of positive squares in 8 ways, for example, as 3076809961 + 1097034191236 = 55469^2 + 1047394^2 .

It is not a de Polignac number, because 1100111001197 - 220 = 1100109952621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100111001167) 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, 9098297 + ... + 9218417.

It is an arithmetic number, because the mean of its divisors is an integer number (75266943675).

Almost surely, 21100111001197 is an apocalyptic number.

It is an amenable number.

1100111001197 is a deficient number, since it is larger than the sum of its proper divisors (104160097603).

1100111001197 is a wasteful number, since it uses less digits than its factorization.

1100111001197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131744.

The product of its (nonzero) digits is 63, while the sum is 23.

The spelling of 1100111001197 in words is "one trillion, one hundred billion, one hundred eleven million, one thousand, one hundred ninety-seven".

Divisors: 1 13 61 793 11549 120121 150137 704489 1561573 7327381 9158357 95255953 1387277429 18034606577 84623923169 1100111001197