Search a number
-
+
211721570672161 = 11163317927740153
BaseRepresentation
bin110000001000111101000101…
…000000101101111000100001
31000202122101101021210211000111
4300020331011000231320201
5210222321234043002121
62030143314040451321
762411243615152534
oct6010750500557041
91022571337724014
10211721570672161
1161508683090140
121b8b5085779b41
13911a348a624b4
143a3d543204a1b
15197256d3c62e1
hexc08f4502de21

211721570672161 has 32 divisors (see below), whose sum is σ = 233149987721088. Its totient is φ = 190664579427840.

The previous prime is 211721570672077. The next prime is 211721570672219. The reversal of 211721570672161 is 161276075127112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211721570672161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211721570672461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5272850461 + ... + 5272890613.

It is an arithmetic number, because the mean of its divisors is an integer number (7285937116284).

Almost surely, 2211721570672161 is an apocalyptic number.

It is an amenable number.

211721570672161 is a deficient number, since it is larger than the sum of its proper divisors (21428417048927).

211721570672161 is a wasteful number, since it uses less digits than its factorization.

211721570672161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49921.

The product of its (nonzero) digits is 493920, while the sum is 49.

The spelling of 211721570672161 in words is "two hundred eleven trillion, seven hundred twenty-one billion, five hundred seventy million, six hundred seventy-two thousand, one hundred sixty-one".

Divisors: 1 11 163 317 1793 3487 9277 40153 51671 102047 441683 568381 1512151 2940809 6544939 12728501 16633661 32348899 71994329 140013511 372499381 479351867 2074745663 4097493191 5272870537 22822202293 60717399103 118082303777 667891390133 1298905341547 19247415515651 211721570672161