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119093000161 = 4119376119777
BaseRepresentation
bin110111011101001111…
…1101111011111100001
3102101101210111020121211
41232322133233133201
53422400302001121
6130413252150121
711414143541002
oct1567237573741
9371353436554
10119093000161
1146563991783
121b0b8008341
13b2cc30c885
145a9aac71a9
153170544ce1
hex1bba7ef7e1

119093000161 has 16 divisors (see below), whose sum is σ = 122797171728. Its totient is φ = 115428556800.

The previous prime is 119093000107. The next prime is 119093000207. The reversal of 119093000161 is 161000390911.

It can be written as a sum of positive squares in 8 ways, for example, as 61444990161 + 57648010000 = 247881^2 + 240100^2 .

It is a 4-Lehmer number, since φ(119093000161) divides (119093000161-1)4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-119093000161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (119093000261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6011905 + ... + 6031681.

It is an arithmetic number, because the mean of its divisors is an integer number (7674823233).

It is a Poulet number, since it divides 2119093000160-1.

Almost surely, 2119093000161 is an apocalyptic number.

It is an amenable number.

119093000161 is a deficient number, since it is larger than the sum of its proper divisors (3704171567).

119093000161 is a wasteful number, since it uses less digits than its factorization.

119093000161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20772.

The product of its (nonzero) digits is 1458, while the sum is 31.

The spelling of 119093000161 in words is "one hundred nineteen billion, ninety-three million, one hundred sixty-one", and thus it is an aban number.

Divisors: 1 41 193 761 7913 19777 31201 146873 810857 3816961 6021793 15050297 156495401 617062177 2904707321 119093000161