Search a number
-
+
123223113203311 = 1125967495751971
BaseRepresentation
bin11100000001001000011101…
…111000111111111001101111
3121011022000101121220101020001
4130001020131320333321233
5112122341413440001221
61114023530002405131
734645401421320532
oct3401103570777157
9534260347811201
10123223113203311
11362986a0a8a900
12119a156b3607a7
13539ab749222b4
14226005d9a2a19
15e3a4b1540391
hex70121de3fe6f

123223113203311 has 48 divisors (see below), whose sum is σ = 139825942784640. Its totient is φ = 108454762785600.

The previous prime is 123223113203249. The next prime is 123223113203369. The reversal of 123223113203311 is 113302311322321.

It is not a de Polignac number, because 123223113203311 - 215 = 123223113170543 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123223113203311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123223113203611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2370971556 + ... + 2371023526.

It is an arithmetic number, because the mean of its divisors is an integer number (2913040474680).

Almost surely, 2123223113203311 is an apocalyptic number.

123223113203311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123223113203311 is a deficient number, since it is larger than the sum of its proper divisors (16602829581329).

123223113203311 is a wasteful number, since it uses less digits than its factorization.

123223113203311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57076 (or 57065 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 123223113203311 its reverse (113302311322321), we get a palindrome (236525424525632).

The spelling of 123223113203311 in words is "one hundred twenty-three trillion, two hundred twenty-three billion, one hundred thirteen million, two hundred three thousand, three hundred eleven".

Divisors: 1 11 59 67 121 649 737 3953 4957 7139 8107 43483 51971 54527 292463 332119 478313 571681 599797 3066289 3217093 3482057 3653309 6288491 19595021 33729179 35388023 38302627 40186399 205441363 215545231 257620247 371020969 421328897 2259854993 2370997541 2833822717 15199594573 17260556549 24858404923 31172049887 167195540303 189866122039 1018372836391 1839150943333 2088527342429 11202101200301 123223113203311