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12112010031 = 3113134133469
BaseRepresentation
bin10110100011110111…
…01001101100101111
31011021002212212020010
423101323221230233
5144301133310111
65321510224303
7606101246412
oct132173515457
934232785203
1012112010031
115155a06450
122420355093
1311b0421a54
1482c857b79
154ad4e8aa6
hex2d1ee9b2f

12112010031 has 32 divisors (see below), whose sum is σ = 18196346880. Its totient is φ = 7099689600.

The previous prime is 12112010021. The next prime is 12112010041. The reversal of 12112010031 is 13001021121.

It is an interprime number because it is at equal distance from previous prime (12112010021) and next prime (12112010041).

It is not a de Polignac number, because 12112010031 - 29 = 12112009519 is a prime.

It is a super-2 number, since 2×121120100312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12112009989 and 12112010016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112010021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3489765 + ... + 3493233.

It is an arithmetic number, because the mean of its divisors is an integer number (568635840).

Almost surely, 212112010031 is an apocalyptic number.

12112010031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12112010031 is a deficient number, since it is larger than the sum of its proper divisors (6084336849).

12112010031 is a wasteful number, since it uses less digits than its factorization.

12112010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12112010031 its reverse (13001021121), we get a palindrome (25113031152).

The spelling of 12112010031 in words is "twelve billion, one hundred twelve million, ten thousand, thirty-one".

Divisors: 1 3 11 31 33 93 341 1023 3413 3469 10239 10407 37543 38159 105803 107539 112629 114477 317409 322617 1163833 1182929 3491499 3548787 11839697 35519091 130236667 367030607 390710001 1101091821 4037336677 12112010031