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101012002211 = 173194126393
BaseRepresentation
bin101111000010011001…
…0001101010110100011
3100122201200220101022002
41132010302031112203
53123333033032321
6114223153434215
710204112565161
oct1360462152643
9318650811262
10101012002211
113992570736a
12176b086b96b
1396aa38c913
144c63614231
152962edc20b
hex1784c8d5a3

101012002211 has 32 divisors (see below), whose sum is σ = 115732411200. Its totient is φ = 87866357760.

The previous prime is 101012002187. The next prime is 101012002219. The reversal of 101012002211 is 112200210101.

It is not a de Polignac number, because 101012002211 - 210 = 101012001187 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012002192 and 101012002201.

It is not an unprimeable number, because it can be changed into a prime (101012002219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3814031 + ... + 3840423.

It is an arithmetic number, because the mean of its divisors is an integer number (3616637850).

Almost surely, 2101012002211 is an apocalyptic number.

101012002211 is a deficient number, since it is larger than the sum of its proper divisors (14720408989).

101012002211 is an equidigital number, since it uses as much as digits as its factorization.

101012002211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26504 (or 26470 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101012002211 its reverse (112200210101), we get a palindrome (213212212312).

The spelling of 101012002211 in words is "one hundred one billion, twelve million, two thousand, two hundred eleven".

Divisors: 1 17 19 41 289 323 697 779 4913 5491 11849 13243 26393 93347 201433 225131 448681 501467 1082113 3827227 7627577 8524939 18395921 20560147 129668809 144923963 312730657 349522499 2463707371 5316421169 5941882483 101012002211