Search a number
-
+
123222203000 = 23531347201673
BaseRepresentation
bin111001011000010011…
…1011001101001111000
3102210001120022111001022
41302300213121221320
54004324340444000
6132335115242012
711621363305151
oct1626047315170
9383046274038
10123222203000
11482927a2a06
121ba6aa49308
13b80992ac70
145d6d270928
153312cdc585
hex1cb09d9a78

123222203000 has 128 divisors (see below), whose sum is σ = 317128331520. Its totient is φ = 44529177600.

The previous prime is 123222202981. The next prime is 123222203021. The reversal of 123222203000 is 302222321.

It is a super-2 number, since 2×1232222030002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123222203000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 510164 + ... + 711836.

It is an arithmetic number, because the mean of its divisors is an integer number (2477565090).

Almost surely, 2123222203000 is an apocalyptic number.

123222203000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123222203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158564165760).

123222203000 is an abundant number, since it is smaller than the sum of its proper divisors (193906128520).

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

123222203000 is a wasteful number, since it uses less digits than its factorization.

123222203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201754 (or 201740 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 123222203000 its reverse (302222321), we get a palindrome (123524425321).

The spelling of 123222203000 in words is "one hundred twenty-three billion, two hundred twenty-two million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 47 50 52 65 94 100 104 125 130 188 200 235 250 260 325 376 470 500 520 611 650 940 1000 1175 1222 1300 1625 1880 2350 2444 2600 3055 3250 4700 4888 5875 6110 6500 9400 11750 12220 13000 15275 23500 24440 30550 47000 61100 76375 122200 152750 201673 305500 403346 611000 806692 1008365 1613384 2016730 2621749 4033460 5041825 5243498 8066920 9478631 10083650 10486996 13108745 18957262 20167300 20973992 25209125 26217490 37914524 40334600 47393155 50418250 52434980 65543725 75829048 94786310 100836500 104869960 123222203 131087450 189572620 201673000 236965775 246444406 262174900 327718625 379145240 473931550 492888812 524349800 616111015 655437250 947863100 985777624 1184828875 1232222030 1310874500 1895726200 2369657750 2464444060 2621749000 3080555075 4739315500 4928888120 6161110150 9478631000 12322220300 15402775375 24644440600 30805550750 61611101500 123222203000