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311223200230230 = 2351914922369163819
BaseRepresentation
bin100011011000011100100110…
…0010010111010101101010110
31111210221122110221012202111020
41012300321030102322231112
5311243040103224331410
63021525544151222010
7122361064013423541
oct10660711422725526
91453848427182436
10311223200230230
1190190021a59a22
122aaa5184077906
13104872b6542202
1456bd3d73bd858
1525ea96a14ea70
hex11b0e4c4bab56

311223200230230 has 128 divisors (see below), whose sum is σ = 791565134400000. Its totient is φ = 78093157183488.

The previous prime is 311223200230093. The next prime is 311223200230333. The reversal of 311223200230230 is 32032002322113.

It is a self number, because there is not a number n which added to its sum of digits gives 311223200230230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1899717261 + ... + 1899881079.

It is an arithmetic number, because the mean of its divisors is an integer number (6184102612500).

Almost surely, 2311223200230230 is an apocalyptic number.

311223200230230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 311223200230230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395782567200000).

311223200230230 is an abundant number, since it is smaller than the sum of its proper divisors (480341934169770).

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

311223200230230 is a wasteful number, since it uses less digits than its factorization.

311223200230230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186366.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 311223200230230 its reverse (32032002322113), we get a palindrome (343255202552343).

The spelling of 311223200230230 in words is "three hundred eleven trillion, two hundred twenty-three billion, two hundred million, two hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 149 190 285 298 447 570 745 894 1490 2235 2831 4470 5662 8493 14155 16986 22369 28310 42465 44738 67107 84930 111845 134214 163819 223690 327638 335535 425011 491457 671070 819095 850022 982914 1275033 1638190 2125055 2457285 2550066 3112561 3332981 4250110 4914570 6225122 6375165 6665962 9337683 9998943 12750330 15562805 16664905 18675366 19997886 24409031 31125610 33329810 46688415 48818062 49994715 63326639 73227093 93376830 99989430 122045155 126653278 146454186 189979917 244090310 316633195 366135465 379959834 463771589 633266390 732270930 927543178 949899585 1391314767 1899799170 2318857945 2782629534 3664467211 4637715890 6956573835 7328934422 10993401633 13913147670 18322336055 21986803266 36644672110 54967008165 69624877009 109934016330 139249754018 208874631027 348124385045 417749262054 546005614439 696248770090 1044373155135 1092011228878 1638016843317 2088746310270 2730028072195 3276033686634 5460056144390 8190084216585 10374106674341 16380168433170 20748213348682 31122320023023 51870533371705 62244640046046 103741066743410 155611600115115 311223200230230