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123111334401 = 3116791960589
BaseRepresentation
bin111001010101000000…
…0011110001000000001
3102202202211200202220220
41302222000132020001
54004113000200101
6132320115053253
711615546035116
oct1625200361001
9382684622826
10123111334401
1148236158770
121ba398a1229
13b7bc980443
145d5c65090d
1533081dc636
hex1caa01e201

123111334401 has 32 divisors (see below), whose sum is σ = 181944499200. Its totient is φ = 73418114880.

The previous prime is 123111334391. The next prime is 123111334421. The reversal of 123111334401 is 104433111321.

It is a happy number.

It is not a de Polignac number, because 123111334401 - 210 = 123111333377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123111334421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2001615 + ... + 2062203.

It is an arithmetic number, because the mean of its divisors is an integer number (5685765600).

Almost surely, 2123111334401 is an apocalyptic number.

123111334401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123111334401 is a deficient number, since it is larger than the sum of its proper divisors (58833164799).

123111334401 is a wasteful number, since it uses less digits than its factorization.

123111334401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61589.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 123111334401 its reverse (104433111321), we get a palindrome (227544445722).

The spelling of 123111334401 in words is "one hundred twenty-three billion, one hundred eleven million, three hundred thirty-four thousand, four hundred one".

Divisors: 1 3 11 33 67 201 737 919 2211 2757 10109 30327 60589 61573 181767 184719 666479 677303 1999437 2031909 4059463 12178389 44654093 55681291 133962279 167043873 612494201 1837482603 3730646497 11191939491 41037111467 123111334401