Search a number
-
+
200211000102100 = 225213891730432153
BaseRepresentation
bin101101100001011101000001…
…100010101000110011010100
3222020212222120211112211100201
4231201131001202220303110
5202220224112011231400
61545451355205550244
760112524136511161
oct5541350142506324
9866788524484321
10200211000102100
1158880010082019
121a556296a15384
138793a7c53ccc0
14376239aa01068
151822e330c306a
hexb617418a8cd4

200211000102100 has 72 divisors (see below), whose sum is σ = 473134759546680. Its totient is φ = 73093454100480.

The previous prime is 200211000102097. The next prime is 200211000102121. The reversal of 200211000102100 is 1201000112002.

It can be written as a sum of positive squares in 12 ways, for example, as 73436056026256 + 126774944075844 = 8569484^2 + 11259438^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 865100377 + ... + 865331776.

It is an arithmetic number, because the mean of its divisors is an integer number (6571316104815).

Almost surely, 2200211000102100 is an apocalyptic number.

200211000102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200211000102100 is an abundant number, since it is smaller than the sum of its proper divisors (272923759444580).

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

200211000102100 is a wasteful number, since it uses less digits than its factorization.

200211000102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730432269 (or 1730432262 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200211000102100 its reverse (1201000112002), we get a palindrome (201412000214102).

The spelling of 200211000102100 in words is "two hundred trillion, two hundred eleven billion, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 89 100 130 178 260 325 356 445 650 890 1157 1300 1780 2225 2314 4450 4628 5785 8900 11570 23140 28925 57850 115700 1730432153 3460864306 6921728612 8652160765 17304321530 22495617989 34608643060 43260803825 44991235978 86521607650 89982471956 112478089945 154008461617 173043215300 224956179890 308016923234 449912359780 562390449725 616033846468 770042308085 1124780899450 1540084616170 2002110001021 2249561798900 3080169232340 3850211540425 4004220002042 7700423080850 8008440004084 10010550005105 15400846161700 20021100010210 40042200020420 50052750025525 100105500051050 200211000102100