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123112014144 = 263791601201
BaseRepresentation
bin111001010101000001…
…1000100000101000000
3102202202212222022100120
41302222003010011000
54004113133423034
6132320141420240
711615554565640
oct1625203040500
9382685868316
10123112014144
1148236582439
121ba39b6a680
13b7bcb5a962
145d5c78a520
1533082c3c49
hex1caa0c4140

123112014144 has 56 divisors (see below), whose sum is σ = 372267284928. Its totient is φ = 35174860800.

The previous prime is 123112014089. The next prime is 123112014199. The reversal of 123112014144 is 441410211321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123112014089) and next prime (123112014199).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45799257 + ... + 45801944.

It is an arithmetic number, because the mean of its divisors is an integer number (6647630088).

Almost surely, 2123112014144 is an apocalyptic number.

123112014144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

123112014144 is an abundant number, since it is smaller than the sum of its proper divisors (249155270784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123112014144 is an equidigital number, since it uses as much as digits as its factorization.

123112014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91601223 (or 91601213 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 123112014144 its reverse (441410211321), we get a palindrome (564522225465).

The spelling of 123112014144 in words is "one hundred twenty-three billion, one hundred twelve million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 91601201 183202402 274803603 366404804 549607206 641208407 732809608 1099214412 1282416814 1465619216 1923625221 2198428824 2564833628 2931238432 3847250442 4396857648 5129667256 5862476864 7694500884 8793715296 10259334512 15389001768 17587430592 20518669024 30778003536 41037338048 61556007072 123112014144