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12031303031031 = 3414716312767977
BaseRepresentation
bin1010111100010100000110…
…0010110001100011110111
31120121011220012020211201010
42233011001202301203313
53034110102033443111
641331034310403303
72351142622254444
oct257050142614367
946534805224633
1012031303031031
1139194a09a6389
1214238b7060533
13693715a1145b
142d84650d69cb
1515ce66137aa6
hexaf1418b18f7

12031303031031 has 32 divisors (see below), whose sum is σ = 16885599833088. Its totient is φ = 7611756572160.

The previous prime is 12031303031021. The next prime is 12031303031057. The reversal of 12031303031031 is 13013030313021.

12031303031031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12031303031031 - 215 = 12031302998263 is a prime.

It is a super-2 number, since 2×120313030310312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12031303030989 and 12031303031007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031303031021) 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, 5441686 + ... + 7326291.

It is an arithmetic number, because the mean of its divisors is an integer number (527674994784).

Almost surely, 212031303031031 is an apocalyptic number.

12031303031031 is a deficient number, since it is larger than the sum of its proper divisors (4854296802057).

12031303031031 is a wasteful number, since it uses less digits than its factorization.

12031303031031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12768231.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 12031303031031 its reverse (13013030313021), we get a palindrome (25044333344052).

The spelling of 12031303031031 in words is "twelve trillion, thirty-one billion, three hundred three million, thirty-one thousand, thirty-one".

Divisors: 1 3 41 47 123 141 163 489 1927 5781 6683 7661 20049 22983 314101 942303 12767977 38303931 523487057 600094919 1570461171 1800284757 2081180251 6243540753 24603891679 73811675037 85328390291 97815471797 255985170873 293446415391 4010434343677 12031303031031