Search a number
-
+
211001320120200 = 233525323934979549
BaseRepresentation
bin101111111110011110010010…
…101110111001111110001000
31000200002112021210022210100120
4233332132102232321332020
5210124021200422321300
62024432400203503240
762305225261401111
oct5776362256717610
91020075253283316
10211001320120200
1161260180462095
121b7b9577227b20
139097454043c3c
143a16738637208
15195d9665b03a0
hexbfe792bb9f88

211001320120200 has 384 divisors, whose sum is σ = 671160168000000. Its totient is φ = 54816183152640.

The previous prime is 211001320120169. The next prime is 211001320120231. The reversal of 211001320120200 is 2021023100112.

It is an interprime number because it is at equal distance from previous prime (211001320120169) and next prime (211001320120231).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211001320120200.

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, 2652430026 + ... + 2652509574.

It is an arithmetic number, because the mean of its divisors is an integer number (1747812937500).

Almost surely, 2211001320120200 is an apocalyptic number.

211001320120200 is a gapful number since it is divisible by the number (20) 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 211001320120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335580084000000).

211001320120200 is an abundant number, since it is smaller than the sum of its proper divisors (460158847879800).

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

211001320120200 is a wasteful number, since it uses less digits than its factorization.

211001320120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80209 (or 80200 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 211001320120200 its reverse (2021023100112), we get a palindrome (213022343220312).

The spelling of 211001320120200 in words is "two hundred eleven trillion, one billion, three hundred twenty million, one hundred twenty thousand, two hundred".