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132124310112301 = 13281331310917209
BaseRepresentation
bin11110000010101010010110…
…100100100000100000101101
3122022210221221100021010210021
4132002222112210200200231
5114304211041342043201
61145001023052042141
736554444400553153
oct3602522644404055
9568727840233707
10132124310112301
113910a672648311
121299a6b0163351
135895365c53b10
14248abca5913d3
151041ccab0bea1
hex782a9692082d

132124310112301 has 16 divisors (see below), whose sum is σ = 142837194795120. Its totient is φ = 121490184130560.

The previous prime is 132124310112299. The next prime is 132124310112313. The reversal of 132124310112301 is 103211013421231.

It can be written as a sum of positive squares in 8 ways, for example, as 8518255146025 + 123606054966276 = 2918605^2 + 11117826^2 .

It is a cyclic number.

It is not a de Polignac number, because 132124310112301 - 21 = 132124310112299 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 (132124310112331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6643785 + ... + 17560993.

It is an arithmetic number, because the mean of its divisors is an integer number (8927324674695).

Almost surely, 2132124310112301 is an apocalyptic number.

It is an amenable number.

132124310112301 is a deficient number, since it is larger than the sum of its proper divisors (10712884682819).

132124310112301 is a wasteful number, since it uses less digits than its factorization.

132124310112301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10920816.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 132124310112301 its reverse (103211013421231), we get a palindrome (235335323533532).

The spelling of 132124310112301 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, three hundred ten million, one hundred twelve thousand, three hundred one".

Divisors: 1 13 281 3313 3653 43069 930953 10917209 12102389 141923717 3067735729 36168713417 39880564477 470193274421 10163408470177 132124310112301