Search a number
-
+
2110201000020 = 2232537316846997
BaseRepresentation
bin11110101101010001110…
…001111111000001010100
321110201210112110200112100
4132231101301333001110
5234033142424000040
64253225110522100
7305312514356301
oct36552161770124
97421715420470
102110201000020
11743a274a7213
122a0b7a066330
13123cb65a87a9
14741c46360a8
1539d57a7ab30
hex1eb51c7f054

2110201000020 has 72 divisors (see below), whose sum is σ = 6573941514504. Its totient is φ = 547511609088.

The previous prime is 2110201000009. The next prime is 2110201000021. The reversal of 2110201000020 is 200001020112.

It can be written as a sum of positive squares in 4 ways, for example, as 209723697936 + 1900477302084 = 457956^2 + 1378578^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2110200999966 and 2110201000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110201000021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158416839 + ... + 158430158.

It is an arithmetic number, because the mean of its divisors is an integer number (91304743257).

Almost surely, 22110201000020 is an apocalyptic number.

2110201000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110201000020 is an abundant number, since it is smaller than the sum of its proper divisors (4463740514484).

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

2110201000020 is a wasteful number, since it uses less digits than its factorization.

2110201000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316847049 (or 316847044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2110201000020 its reverse (200001020112), we get a palindrome (2310202020132).

The spelling of 2110201000020 in words is "two trillion, one hundred ten billion, two hundred one million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 316846997 633693994 950540991 1267387988 1584234985 1901081982 2851622973 3168469970 3802163964 4752704955 5703245946 6336939940 9505409910 11406491892 11723338889 14258114865 19010819820 23446677778 28516229730 35170016667 46893355556 57032459460 58616694445 70340033334 105510050001 117233388890 140680066668 175850083335 211020100002 234466777780 351700166670 422040200004 527550250005 703400333340 1055100500010 2110201000020