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230210030122020 = 2232513860911427617
BaseRepresentation
bin110100010101111111110011…
…000100011011010000100100
31010012002212022211001111022200
4310111333303010123100210
5220133230120202401040
62133341010003054500
766330061103420214
oct6425776304332044
91105085284044280
10230210030122020
1167396586493743
12219a02b5371430
139b5b935a23130
1440bc321216244
151b93457b4a630
hexd15ff311b424

230210030122020 has 144 divisors (see below), whose sum is σ = 752106850251120. Its totient is φ = 56660497072128.

The previous prime is 230210030121977. The next prime is 230210030122043. The reversal of 230210030122020 is 20221030012032.

230210030122020 is a `hidden beast` number, since 23 + 0 + 2 + 100 + 301 + 220 + 20 = 666.

230210030122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12591653534784 + 217618376587236 = 3548472^2 + 14751894^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230210030121984 and 230210030122002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14431252 + ... + 25858868.

It is an arithmetic number, because the mean of its divisors is an integer number (5222964237855).

Almost surely, 2230210030122020 is an apocalyptic number.

230210030122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230210030122020 is an abundant number, since it is smaller than the sum of its proper divisors (521896820129100).

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

230210030122020 is a wasteful number, since it uses less digits than its factorization.

230210030122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11436254 (or 11436249 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230210030122020 its reverse (20221030012032), we get a palindrome (250431060134052).

The spelling of 230210030122020 in words is "two hundred thirty trillion, two hundred ten billion, thirty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 8609 17218 25827 34436 43045 51654 77481 86090 103308 111917 129135 154962 172180 223834 258270 309924 335751 387405 447668 516540 559585 671502 774810 1007253 1119170 1343004 1549620 1678755 2014506 2238340 3357510 4029012 5036265 6715020 10072530 11427617 20145060 22855234 34282851 45710468 57138085 68565702 102848553 114276170 137131404 148559021 171414255 205697106 228552340 297118042 342828510 411394212 445677063 514242765 594236084 685657020 742795105 891354126 1028485530 1337031189 1485590210 1782708252 2056971060 2228385315 2674062378 2971180420 4456770630 5348124756 6685155945 8913541260 13370311890 26740623780 98380354753 196760709506 295141064259 393521419012 491901773765 590282128518 885423192777 983803547530 1180564257036 1278944611789 1475705321295 1770846385554 1967607095060 2557889223578 2951410642590 3541692771108 3836833835367 4427115963885 5115778447156 5902821285180 6394723058945 7673667670734 8854231927770 11510501506101 12789446117890 15347335341468 17708463855540 19184169176835 23021003012202 25578892235780 38368338353670 46042006024404 57552507530505 76736676707340 115105015061010 230210030122020