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12113000031 = 3116112747381
BaseRepresentation
bin10110100011111110…
…11011011001011111
31011021011202011020210
423101333123121133
5144301412000111
65321543343503
7606112541616
oct132177333137
934234664223
1012113000031
115156522230
122420751b93
1311b06aa552
1482ca3487d
154ad6420a6
hex2d1fdb65f

12113000031 has 32 divisors (see below), whose sum is σ = 18049130496. Its totient is φ = 7163856000.

The previous prime is 12113000027. The next prime is 12113000041. The reversal of 12113000031 is 13000031121.

It is not a de Polignac number, because 12113000031 - 22 = 12113000027 is a prime.

It is a super-2 number, since 2×121130000312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12112999980 and 12113000016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113000041) 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 31 ways as a sum of consecutive naturals, for example, 231961 + ... + 279341.

It is an arithmetic number, because the mean of its divisors is an integer number (564035328).

Almost surely, 212113000031 is an apocalyptic number.

12113000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12113000031 is a deficient number, since it is larger than the sum of its proper divisors (5936130465).

12113000031 is a wasteful number, since it uses less digits than its factorization.

12113000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47583.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12113000031 its reverse (13000031121), we get a palindrome (25113031152).

It can be divided in two parts, 121 and 13000031, that multiplied together give a palindrome (1573003751).

The spelling of 12113000031 in words is "twelve billion, one hundred thirteen million, thirty-one", and thus it is an aban number.

Divisors: 1 3 11 33 61 127 183 381 671 1397 2013 4191 7747 23241 47381 85217 142143 255651 521191 1563573 2890241 6017387 8670723 18052161 31792651 66191257 95377953 198573771 367060607 1101181821 4037666677 12113000031