Search a number
-
+
312220402420 = 22515611020121
BaseRepresentation
bin1001000101100011100…
…10010100001011110100
31002211220011202210101011
410202301302110023310
520103411410334140
6355233154442004
731362053426623
oct4426162241364
91084804683334
10312220402420
11110459306533
1250615b93304
1323599842064
141117c1336ba
1581c5468cea
hex48b1c942f4

312220402420 has 12 divisors (see below), whose sum is σ = 655662845124. Its totient is φ = 124888160960.

The previous prime is 312220402411. The next prime is 312220402423. The reversal of 312220402420 is 24204022213.

It can be written as a sum of positive squares in 2 ways, for example, as 83283033744 + 228937368676 = 288588^2 + 478474^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312220402391 and 312220402400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312220402423) 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 3 ways as a sum of consecutive naturals, for example, 7805510041 + ... + 7805510080.

It is an arithmetic number, because the mean of its divisors is an integer number (54638570427).

Almost surely, 2312220402420 is an apocalyptic number.

It is an amenable number.

312220402420 is an abundant number, since it is smaller than the sum of its proper divisors (343442442704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312220402420 is a wasteful number, since it uses less digits than its factorization.

312220402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15611020130 (or 15611020128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 312220402420 its reverse (24204022213), we get a palindrome (336424424633).

The spelling of 312220402420 in words is "three hundred twelve billion, two hundred twenty million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 15611020121 31222040242 62444080484 78055100605 156110201210 312220402420