Search a number
-
+
312120133004022 = 237172291908921587
BaseRepresentation
bin100011011110111110010000…
…1101001111010101011110110
31111221010101121201110121100220
41012331330201221322223312
5311402234013022112042
63023454002025315210
7122512635601256610
oct10675744151725366
91457111551417326
10312120133004022
11904a6450142322
122b00ab81035b06
1310520a57709965
1457109a329ddb0
152613e632588ec
hex11bdf21a7aaf6

312120133004022 has 64 divisors (see below), whose sum is σ = 758681795934720. Its totient is φ = 83564951348736.

The previous prime is 312120133003979. The next prime is 312120133004033. The reversal of 312120133004022 is 220400331021213.

It is a junction number, because it is equal to n+sod(n) for n = 312120133003983 and 312120133004001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 954297288 + ... + 954624299.

It is an arithmetic number, because the mean of its divisors is an integer number (11854403061480).

Almost surely, 2312120133004022 is an apocalyptic number.

312120133004022 is an abundant number, since it is smaller than the sum of its proper divisors (446561662930698).

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

312120133004022 is a wasteful number, since it uses less digits than its factorization.

312120133004022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908921845.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312120133004022 its reverse (220400331021213), we get a palindrome (532520464025235).

The spelling of 312120133004022 in words is "three hundred twelve trillion, one hundred twenty billion, one hundred thirty-three million, four thousand, twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 229 238 357 458 687 714 1374 1603 3206 3893 4809 7786 9618 11679 23358 27251 54502 81753 163506 1908921587 3817843174 5726764761 11453529522 13362451109 26724902218 32451666979 40087353327 64903333958 80174706654 97355000937 194710001874 227161668853 437143043423 454323337706 681485006559 874286086846 1311429130269 1362970013118 2622858260538 3060001303961 6120002607922 7431431738191 9180003911883 14862863476382 18360007823766 22294295214573 44588590429146 52020022167337 104040044334674 156060066502011 312120133004022