Search a number
-
+
312220132021 = 7229219718601
BaseRepresentation
bin1001000101100011100…
…01010010001010110101
31002211220011021001110101
410202301301102022311
520103411323211041
6355233144554101
731362051222400
oct4426161221265
91084804231411
10312220132021
11110459141366
1250615a82931
1323599778c65
141117c0a2d37
1581c5413b31
hex48b1c522b5

312220132021 has 12 divisors (see below), whose sum is σ = 375718809420. Its totient is φ = 258389073600.

The previous prime is 312220132009. The next prime is 312220132031. The reversal of 312220132021 is 120231022213.

It can be written as a sum of positive squares in 2 ways, for example, as 148348995921 + 163871136100 = 385161^2 + 404810^2 .

It is not a de Polignac number, because 312220132021 - 217 = 312220000949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312220132021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312220132031) 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, 109857880 + ... + 109860721.

It is an arithmetic number, because the mean of its divisors is an integer number (31309900785).

Almost surely, 2312220132021 is an apocalyptic number.

It is an amenable number.

312220132021 is a deficient number, since it is larger than the sum of its proper divisors (63498677399).

312220132021 is a wasteful number, since it uses less digits than its factorization.

312220132021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219718644 (or 219718637 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 312220132021 its reverse (120231022213), we get a palindrome (432451154234).

The spelling of 312220132021 in words is "three hundred twelve billion, two hundred twenty million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 7 29 49 203 1421 219718601 1538030207 6371839429 10766211449 44602876003 312220132021