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431132114541213 = 3388311808159449
BaseRepresentation
bin110001000000111001100010…
…0100010011101101010011101
32002112111211100100012100222000
41202001303010202131222131
5423002132032310304323
64124535205325512513
7156545160465214251
oct14201630442355235
92075454310170860
10431132114541213
11115410115081898
1240430360a12739
1315674778c39a77
147866c9729a261
1534c9b07e6ce43
hex1881cc489da9d

431132114541213 has 16 divisors (see below), whose sum is σ = 638786570496000. Its totient is φ = 287388862665120.

The previous prime is 431132114541209. The next prime is 431132114541217. The reversal of 431132114541213 is 312145411231134.

431132114541213 is a `hidden beast` number, since 4 + 3 + 1 + 13 + 211 + 4 + 5 + 412 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (431132114541209) and next prime (431132114541217).

It is not a de Polignac number, because 431132114541213 - 22 = 431132114541209 is a prime.

It is a super-2 number, since 2×4311321145412132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431132114541217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 903841288 + ... + 904318161.

It is an arithmetic number, because the mean of its divisors is an integer number (39924160656000).

Almost surely, 2431132114541213 is an apocalyptic number.

It is an amenable number.

431132114541213 is a deficient number, since it is larger than the sum of its proper divisors (207654455954787).

431132114541213 is a wasteful number, since it uses less digits than its factorization.

431132114541213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808168289 (or 1808168283 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 431132114541213 its reverse (312145411231134), we get a palindrome (743277525772347).

The spelling of 431132114541213 in words is "four hundred thirty-one trillion, one hundred thirty-two billion, one hundred fourteen million, five hundred forty-one thousand, two hundred thirteen".

Divisors: 1 3 9 27 8831 26493 79479 238437 1808159449 5424478347 16273435041 48820305123 15967856094119 47903568282357 143710704847071 431132114541213