Search a number
-
+
211001120001 = 3273790519571
BaseRepresentation
bin1100010010000010100…
…1011001010100000001
3202011122000211111002100
43010200221121110001
511424112241320001
6240533234141013
721146542633110
oct3044051312401
9664560744070
10211001120001
11815376a4511
1234a87a21769
1316b88549539
14a2d91a3c77
15574e185586
hex3120a59501

211001120001 has 24 divisors (see below), whose sum is σ = 357733348544. Its totient is φ = 117313362720.

The previous prime is 211001119993. The next prime is 211001120003. The reversal of 211001120001 is 100021100112.

It is a happy number.

It is not a de Polignac number, because 211001120001 - 23 = 211001119993 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211001120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45257455 + ... + 45262116.

Almost surely, 2211001120001 is an apocalyptic number.

211001120001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211001120001 is a deficient number, since it is larger than the sum of its proper divisors (146732228543).

211001120001 is a wasteful number, since it uses less digits than its factorization.

211001120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90519621 (or 90519618 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211001120001 its reverse (100021100112), we get a palindrome (311022220113).

The spelling of 211001120001 in words is "two hundred eleven billion, one million, one hundred twenty thousand, one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 90519571 271558713 633636997 814676139 1900910991 3349224127 5702732973 10047672381 23444568889 30143017143 70333706667 211001120001