Search a number
-
+
213101200201219 = 11139739255773757
BaseRepresentation
bin110000011101000001111101…
…010101101101011000000011
31000221112021110001011110122121
4300131001331111231120003
5210412422224222414334
62033121201225345111
762613024253521511
oct6035017525553003
91027467401143577
10213101200201219
116199a790a82080
121ba98534938197
1391ba4842bb965
143a8a22024d4b1
1519983b7edadb4
hexc1d07d56d603

213101200201219 has 32 divisors (see below), whose sum is σ = 234558228844800. Its totient is φ = 191996650995840.

The previous prime is 213101200201217. The next prime is 213101200201261. The reversal of 213101200201219 is 912102002101312.

It is a cyclic number.

It is not a de Polignac number, because 213101200201219 - 21 = 213101200201217 is a prime.

It is a super-2 number, since 2×2131012002012192 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213101200201193 and 213101200201202.

It is not an unprimeable number, because it can be changed into a prime (213101200201213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2889196689 + ... + 2889270445.

It is an arithmetic number, because the mean of its divisors is an integer number (7329944651400).

Almost surely, 2213101200201219 is an apocalyptic number.

213101200201219 is a deficient number, since it is larger than the sum of its proper divisors (21457028643581).

213101200201219 is a wasteful number, since it uses less digits than its factorization.

213101200201219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77203.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 213101200201219 in words is "two hundred thirteen trillion, one hundred one billion, two hundred million, two hundred one thousand, two hundred nineteen".

Divisors: 1 11 139 739 1529 2557 8129 28127 73757 102721 355423 811327 1129931 1889623 3909653 10252223 20785853 54506423 112774453 188596649 262657597 599570653 2074563139 2889233567 7576392797 26214934211 83340320767 139372923611 288364276321 1533102159721 19372836381929 213101200201219