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12301001031 = 311613360779
BaseRepresentation
bin10110111010011001…
…00110000101000111
31011202021111121010210
423131030212011013
5200143024013111
65352341050503
7613554532524
oct133514460507
934667447123
1012301001031
11524265a160
1224736b6a33
131210623147
148499b214b
154bedcb0a6
hex2dd326147

12301001031 has 16 divisors (see below), whose sum is σ = 17895576960. Its totient is φ = 7453813920.

The previous prime is 12301001003. The next prime is 12301001057. The reversal of 12301001031 is 13010010321.

12301001031 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 12301001031 - 219 = 12300476743 is a prime.

It is a super-2 number, since 2×123010010312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12301000998 and 12301001016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301006031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172000 + ... + 232778.

It is an arithmetic number, because the mean of its divisors is an integer number (1118473560).

Almost surely, 212301001031 is an apocalyptic number.

12301001031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12301001031 is a deficient number, since it is larger than the sum of its proper divisors (5594575929).

12301001031 is a wasteful number, since it uses less digits than its factorization.

12301001031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66926.

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

Adding to 12301001031 its reverse (13010010321), we get a palindrome (25311011352).

It can be divided in two parts, 1 and 2301001031, that added together give a palindrome (2301001032).

The spelling of 12301001031 in words is "twelve billion, three hundred one million, one thousand, thirty-one".

Divisors: 1 3 11 33 6133 18399 60779 67463 182337 202389 668569 2005707 372757607 1118272821 4100333677 12301001031