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12102413101 = 175314990149
BaseRepresentation
bin10110100010101110…
…00010101100101101
31011020102211021201021
423101113002230231
5144241204204401
65320524414141
7605623546132
oct132127025455
934212737637
1012102413101
1151505510a9
1224190a7351
1311ab4417ac
1482b47a589
154ac7502a1
hex2d15c2b2d

12102413101 has 16 divisors (see below), whose sum is σ = 13143870000. Its totient is φ = 11100464128.

The previous prime is 12102413069. The next prime is 12102413111. The reversal of 12102413101 is 10131420121.

12102413101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 808037476 + 11294375625 = 28426^2 + 106275^2 .

It is a cyclic number.

It is not a de Polignac number, because 12102413101 - 25 = 12102413069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102413111) 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, 89175 + ... + 179323.

It is an arithmetic number, because the mean of its divisors is an integer number (821491875).

Almost surely, 212102413101 is an apocalyptic number.

It is an amenable number.

12102413101 is a deficient number, since it is larger than the sum of its proper divisors (1041456899).

12102413101 is a wasteful number, since it uses less digits than its factorization.

12102413101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90368.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12102413101 its reverse (10131420121), we get a palindrome (22233833222).

The spelling of 12102413101 in words is "twelve billion, one hundred two million, four hundred thirteen thousand, one hundred one".

Divisors: 1 17 53 149 901 2533 7897 90149 134249 1532533 4777897 13432201 81224249 228347417 711906653 12102413101