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1005214202211 = 31873475937591
BaseRepresentation
bin11101010000010110110…
…11110111100101100011
310120002122002212100020110
432220023123313211203
5112432134313432321
62045442232542403
7132424100511522
oct16501333674543
93502562770213
101005214202211
1135834423621a
12142998251a03
1373a39614bab
143691cb464b9
151b2343d0176
hexea0b6f7963

1005214202211 has 16 divisors (see below), whose sum is σ = 1341318648320. Its totient is φ = 669626455680.

The previous prime is 1005214202189. The next prime is 1005214202219. The reversal of 1005214202211 is 1122024125001.

It is not a de Polignac number, because 1005214202211 - 226 = 1005147093347 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005214202219) 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 15 ways as a sum of consecutive naturals, for example, 26722026 + ... + 26759616.

It is an arithmetic number, because the mean of its divisors is an integer number (83832415520).

Almost surely, 21005214202211 is an apocalyptic number.

1005214202211 is a deficient number, since it is larger than the sum of its proper divisors (336104446109).

1005214202211 is a wasteful number, since it uses less digits than its factorization.

1005214202211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44226.

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 1005214202211 its reverse (1122024125001), we get a palindrome (2127238327212).

The spelling of 1005214202211 in words is "one trillion, five billion, two hundred fourteen million, two hundred two thousand, two hundred eleven".

Divisors: 1 3 1873 4759 5619 14277 37591 112773 8913607 26740821 70407943 178895569 211223829 536686707 335071400737 1005214202211