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312432133241 = 312566957349
BaseRepresentation
bin1001000101111100110…
…10000000010001111001
31002212102221011211110102
410202332122000101321
520104330111230431
6355310200525145
731400234212634
oct4427632002171
91085387154412
10312432133241
11110557880a88
1250674a807b5
1323601675977
141119c2cac1b
1581d8d3ddcb
hex48be680479

312432133241 has 12 divisors (see below), whose sum is σ = 322898278500. Its totient is φ = 302295071520.

The previous prime is 312432133231. The next prime is 312432133267. The reversal of 312432133241 is 142331234213.

It can be written as a sum of positive squares in 2 ways, for example, as 127291254841 + 185140878400 = 356779^2 + 430280^2 .

It is not a de Polignac number, because 312432133241 - 222 = 312427938937 is a prime.

It is a super-2 number, since 2×3124321332412 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312432133201) 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 11 ways as a sum of consecutive naturals, for example, 5419235 + ... + 5476583.

It is an arithmetic number, because the mean of its divisors is an integer number (26908189875).

Almost surely, 2312432133241 is an apocalyptic number.

312432133241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312432133241 is a deficient number, since it is larger than the sum of its proper divisors (10466145259).

312432133241 is an equidigital number, since it uses as much as digits as its factorization.

312432133241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63080 (or 63049 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

Adding to 312432133241 its reverse (142331234213), we get a palindrome (454763367454).

The spelling of 312432133241 in words is "three hundred twelve billion, four hundred thirty-two million, one hundred thirty-three thousand, two hundred forty-one".

Divisors: 1 31 961 5669 57349 175739 1777819 5447909 55112389 325111481 10078455911 312432133241