Search a number
-
+
312212300231123 = 12742143916997829
BaseRepresentation
bin100011011111101001001011…
…1001111111111000111010011
31111221110012112000100212011122
41012333102113033333013103
5311410241242324343443
63024004203425032455
7122522410564624535
oct10677222717770723
91457405460325148
10312212300231123
1190531547139196
122b024a0378572b
1310529655527426
145715227d47855
1526165599cb968
hex11bf4973ff1d3

312212300231123 has 32 divisors (see below), whose sum is σ = 316363069440000. Its totient is φ = 308093438298240.

The previous prime is 312212300231081. The next prime is 312212300231173. The reversal of 312212300231123 is 321132003212213.

It is a cyclic number.

It is not a de Polignac number, because 312212300231123 - 220 = 312212299182547 is a prime.

It is a super-2 number, since 2×3122123002311232 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312212300231092 and 312212300231101.

It is not an unprimeable number, because it can be changed into a prime (312212300231173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39878946173 + ... + 39878954001.

It is an arithmetic number, because the mean of its divisors is an integer number (9886345920000).

Almost surely, 2312212300231123 is an apocalyptic number.

312212300231123 is a deficient number, since it is larger than the sum of its proper divisors (4150769208877).

312212300231123 is a wasteful number, since it uses less digits than its factorization.

312212300231123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10515.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 312212300231123 its reverse (321132003212213), we get a palindrome (633344303443336).

The spelling of 312212300231123 in words is "three hundred twelve trillion, two hundred twelve billion, three hundred million, two hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 127 421 439 1699 7829 53467 55753 184819 215773 715279 745861 994283 3296009 3436931 13301471 23472013 90840433 94724347 314007481 418593143 436490237 1446947951 1689286817 5599919291 5839345769 39878950087 183762389777 711189749957 741596912663 2458364568749 312212300231123