Search a number
-
+
200211121111120 = 24571272815117001
BaseRepresentation
bin101101100001011101001000…
…110000010000000001010000
3222020212222220021020201112021
4231201131020300100001100
5202220224334001023440
61545451415211341224
760112530136204150
oct5541351060200120
9866788807221467
10200211121111120
1158880072412979
121a55630b451814
138793a9b62b282
1437623acb00760
151822e3da2784a
hexb61748c10050

200211121111120 has 80 divisors (see below), whose sum is σ = 536178444668928. Its totient is φ = 68103310464000.

The previous prime is 200211121111109. The next prime is 200211121111129. The reversal of 200211121111120 is 21111121112002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 200211121111094 and 200211121111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200211121111129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407487381 + ... + 1407629620.

Almost surely, 2200211121111120 is an apocalyptic number.

200211121111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200211121111120 is an abundant number, since it is smaller than the sum of its proper divisors (335967323557808).

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

200211121111120 is a wasteful number, since it uses less digits than its factorization.

200211121111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815117148 (or 2815117142 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 200211121111120 its reverse (21111121112002), we get a palindrome (221322242223122).

The spelling of 200211121111120 in words is "two hundred trillion, two hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 127 140 254 280 508 560 635 889 1016 1270 1778 2032 2540 3556 4445 5080 7112 8890 10160 14224 17780 35560 71120 2815117001 5630234002 11260468004 14075585005 19705819007 22520936008 28151170010 39411638014 45041872016 56302340020 78823276028 98529095035 112604680040 157646552056 197058190070 225209360080 315293104112 357519859127 394116380140 715039718254 788232760280 1430079436508 1576465520560 1787599295635 2502639013889 2860158873016 3575198591270 5005278027778 5720317746032 7150397182540 10010556055556 12513195069445 14300794365080 20021112111112 25026390138890 28601588730160 40042224222224 50052780277780 100105560555560 200211121111120