Search a number
-
+
2313123222456 = 233232126711423
BaseRepresentation
bin100001101010010000111…
…000110101001110111000
322012010120112102122121100
4201222100320311032320
5300344234021104311
64530344550211400
7326055230660244
oct41522070651670
98163515378540
102313123222456
11811a98835382
12314370353b60
1313a185149567
147dd54875424
154028282da56
hex21a90e353b8

2313123222456 has 24 divisors (see below), whose sum is σ = 6264708727680. Its totient is φ = 771041074128.

The previous prime is 2313123222383. The next prime is 2313123222457. The reversal of 2313123222456 is 6542223213132.

2313123222456 is a `hidden beast` number, since 2 + 313 + 12 + 322 + 2 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×23131232224563 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2313123222456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313123222457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16063355640 + ... + 16063355783.

It is an arithmetic number, because the mean of its divisors is an integer number (261029530320).

Almost surely, 22313123222456 is an apocalyptic number.

It is an amenable number.

2313123222456 is an abundant number, since it is smaller than the sum of its proper divisors (3951585505224).

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

2313123222456 is a wasteful number, since it uses less digits than its factorization.

2313123222456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32126711435 (or 32126711428 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 2313123222456 its reverse (6542223213132), we get a palindrome (8855346435588).

The spelling of 2313123222456 in words is "two trillion, three hundred thirteen billion, one hundred twenty-three million, two hundred twenty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 32126711423 64253422846 96380134269 128506845692 192760268538 257013691384 289140402807 385520537076 578280805614 771041074152 1156561611228 2313123222456