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1117172217161 = 7112131011004551
BaseRepresentation
bin10000010000011100101…
…001110011010101001001
310221210121122121210011202
4100100130221303111021
5121300432041422121
62213115525433545
7143466366110420
oct20203451632511
93853548553152
101117172217161
113a0876656a00
1216062286b8b5
138146c678c10
143c0dddb62b7
151e0d834540b
hex1041ca73549

1117172217161 has 48 divisors (see below), whose sum is σ = 1526308272384. Its totient is φ = 795603600000.

The previous prime is 1117172217157. The next prime is 1117172217179. The reversal of 1117172217161 is 1617122717111.

It is not a de Polignac number, because 1117172217161 - 22 = 1117172217157 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1117172217151) 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 47 ways as a sum of consecutive naturals, for example, 609836 + ... + 1614386.

It is an arithmetic number, because the mean of its divisors is an integer number (31798089008).

Almost surely, 21117172217161 is an apocalyptic number.

1117172217161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1117172217161 is a deficient number, since it is larger than the sum of its proper divisors (409136055223).

1117172217161 is a wasteful number, since it uses less digits than its factorization.

1117172217161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004694 (or 1004683 counting only the distinct ones).

The product of its digits is 8232, while the sum is 38.

The spelling of 1117172217161 in words is "one trillion, one hundred seventeen billion, one hundred seventy-two million, two hundred seventeen thousand, one hundred sixty-one".

Divisors: 1 7 11 13 77 91 101 121 143 707 847 1001 1111 1313 1573 7777 9191 11011 12221 14443 85547 101101 158873 1004551 1112111 7031857 11050061 13059163 77350427 91414141 101459651 121550671 143650793 710217557 850854697 1005555551 1116056161 1318975463 1580158723 7812393127 9232828241 11061111061 12276617771 14508730093 85936324397 101561110651 159596031023 1117172217161