Search a number
-
+
121021100200 = 2352711132272663
BaseRepresentation
bin111000010110101101…
…0110111000010101000
3102120101011112212122101
41300231122313002220
53440322400201300
6131332450103144
711513005243630
oct1605532670250
9376334485571
10121021100200
114736328a890
121b55587aab4
13b548901680
145c00bc76c0
153234953b6a
hex1c2d6b70a8

121021100200 has 384 divisors, whose sum is σ = 379595704320. Its totient is φ = 34652851200.

The previous prime is 121021100177. The next prime is 121021100231. The reversal of 121021100200 is 2001120121.

It is a super-2 number, since 2×1210211002002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45444069 + ... + 45446731.

It is an arithmetic number, because the mean of its divisors is an integer number (988530480).

Almost surely, 2121021100200 is an apocalyptic number.

121021100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121021100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189797852160).

121021100200 is an abundant number, since it is smaller than the sum of its proper divisors (258574604120).

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

121021100200 is a wasteful number, since it uses less digits than its factorization.

121021100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2928 counting only the distinct ones).

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

Adding to 121021100200 its reverse (2001120121), we get a palindrome (123022220321).

The spelling of 121021100200 in words is "one hundred twenty-one billion, twenty-one million, one hundred thousand, two hundred".