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12132130101 = 371344440037
BaseRepresentation
bin10110100110010000…
…11001110100110101
31011022111202001202220
423103020121310311
5144321311130401
65323505352553
7606434255460
oct132310316465
934274661686
1012132130101
1151662a8a03
122427038759
1311b4647a10
148313b42d7
154b0170336
hex2d3219d35

12132130101 has 16 divisors (see below), whose sum is σ = 19909137024. Its totient is φ = 6399365184.

The previous prime is 12132130033. The next prime is 12132130103. The reversal of 12132130101 is 10103123121.

It is a happy number.

12132130101 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 12132130101 - 27 = 12132129973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132130103) 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, 22219746 + ... + 22220291.

It is an arithmetic number, because the mean of its divisors is an integer number (1244321064).

Almost surely, 212132130101 is an apocalyptic number.

It is an amenable number.

12132130101 is a deficient number, since it is larger than the sum of its proper divisors (7777006923).

12132130101 is a wasteful number, since it uses less digits than its factorization.

12132130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44440060.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12132130101 its reverse (10103123121), we get a palindrome (22235253222).

The spelling of 12132130101 in words is "twelve billion, one hundred thirty-two million, one hundred thirty thousand, one hundred one".

Divisors: 1 3 7 13 21 39 91 273 44440037 133320111 311080259 577720481 933240777 1733161443 4044043367 12132130101