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312132132101421 = 3234681348011269
BaseRepresentation
bin100011011111000011110110…
…0110110110101110100101101
31111221011112120221212220120200
41012332013230312311310231
5311402433101304221141
63023503304423504113
7122513542132024062
oct10676075466656455
91457145527786520
10312132132101421
1190500548337845
122b01136b5b8039
1310521c1a6166a8
1457113c0b24c69
15261441689bab6
hex11be1ecdb5d2d

312132132101421 has 6 divisors (see below), whose sum is σ = 450857524146510. Its totient is φ = 208088088067608.

The previous prime is 312132132101407. The next prime is 312132132101473. The reversal of 312132132101421 is 124101231231213.

312132132101421 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 2 + 132 + 101 + 421 = 666.

It can be written as a sum of positive squares in only one way, i.e., 282866315076900 + 29265817024521 = 16818630^2 + 5409789^2 .

It is not a de Polignac number, because 312132132101421 - 211 = 312132132099373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132132101401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17340674005626 + ... + 17340674005643.

It is an arithmetic number, because the mean of its divisors is an integer number (75142920691085).

Almost surely, 2312132132101421 is an apocalyptic number.

It is an amenable number.

312132132101421 is a deficient number, since it is larger than the sum of its proper divisors (138725392045089).

312132132101421 is a wasteful number, since it uses less digits than its factorization.

312132132101421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34681348011275 (or 34681348011272 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 312132132101421 its reverse (124101231231213), we get a palindrome (436233363332634).

The spelling of 312132132101421 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred thirty-two million, one hundred one thousand, four hundred twenty-one".

Divisors: 1 3 9 34681348011269 104044044033807 312132132101421