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12331112148 = 2232342530893
BaseRepresentation
bin10110111101111110…
…11101011011010100
31011211101011101211100
423132333131123110
5200223231042043
65355334310100
7614401503165
oct133677353324
934741141740
1012331112148
115258656083
1224817b8330
131216936884
1484d9ad76c
154c2877cd3
hex2defdd6d4

12331112148 has 18 divisors (see below), whose sum is σ = 31170311354. Its totient is φ = 4110370704.

The previous prime is 12331112147. The next prime is 12331112149. The reversal of 12331112148 is 84121113321.

It is an interprime number because it is at equal distance from previous prime (12331112147) and next prime (12331112149).

It can be written as a sum of positive squares in only one way, i.e., 8447080464 + 3884031684 = 91908^2 + 62322^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331112147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 171265411 + ... + 171265482.

Almost surely, 212331112148 is an apocalyptic number.

12331112148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12331112148 is an abundant number, since it is smaller than the sum of its proper divisors (18839199206).

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

12331112148 is a wasteful number, since it uses less digits than its factorization.

12331112148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342530903 (or 342530898 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 12331112148 its reverse (84121113321), we get a palindrome (96452225469).

The spelling of 12331112148 in words is "twelve billion, three hundred thirty-one million, one hundred twelve thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 342530893 685061786 1027592679 1370123572 2055185358 3082778037 4110370716 6165556074 12331112148