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20201112323010 = 23253720812915137
BaseRepresentation
bin1001001011111011100000…
…00111111100001111000010
32122112012121020210001110200
410211331300013330033002
510121433334223314020
6110544132441110030
74153324252405053
oct445756007741702
978465536701420
1020201112323010
11648927529aa53
12232313b788316
13b36c58ba98b8
144dba4bd6872a
15250725cc7590
hex125f701fc3c2

20201112323010 has 96 divisors (see below), whose sum is σ = 53968369573872. Its totient is φ = 5238849208320.

The previous prime is 20201112322961. The next prime is 20201112323027. The reversal of 20201112323010 is 1032321110202.

20201112323010 is a `hidden beast` number, since 2 + 0 + 20 + 111 + 232 + 301 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6736843464849 + 13464268858161 = 2595543^2 + 3669369^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5472162 + ... + 8387298.

Almost surely, 220201112323010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201112323010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26984184786936).

20201112323010 is an abundant number, since it is smaller than the sum of its proper divisors (33767257250862).

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

20201112323010 is a wasteful number, since it uses less digits than its factorization.

20201112323010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917268 (or 2917265 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20201112323010 its reverse (1032321110202), we get a palindrome (21233433433212).

It can be divided in two parts, 20201 and 112323010, that added together give a palindrome (112343211).

The spelling of 20201112323010 in words is "twenty trillion, two hundred one billion, one hundred twelve million, three hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 2081 3330 4162 6243 10405 12486 18729 20810 31215 37458 62430 76997 93645 153994 187290 230991 384985 461982 692973 769970 1154955 1385946 2309910 2915137 3464865 5830274 6929730 8745411 14575685 17490822 26236233 29151370 43727055 52472466 87454110 107860069 131181165 215720138 262362330 323580207 539300345 647160414 970740621 1078600690 1617901035 1941481242 3235802070 4853703105 6066400097 9707406210 12132800194 18199200291 30332000485 36398400582 54597600873 60664000970 90996001455 109195201746 181992002910 224456803589 272988004365 448913607178 545976008730 673370410767 1122284017945 1346740821534 2020111232301 2244568035890 3366852053835 4040222464602 6733704107670 10100556161505 20201112323010