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10002110211 = 32233710911981
BaseRepresentation
bin10010101000010110…
…00001011100000011
3221211001201211210100
421110023001130003
5130441020011321
64332255533443
7502601351112
oct112413013403
927731654710
1010002110211
114272a26495
121b3182a283
13c35278b12
146ac551c79
153d8178326
hex2542c1703

10002110211 has 48 divisors (see below), whose sum is σ = 15626445120. Its totient is φ = 6148327680.

The previous prime is 10002110203. The next prime is 10002110263. The reversal of 10002110211 is 11201120001.

It is a happy number.

It is not a de Polignac number, because 10002110211 - 23 = 10002110203 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10002110193 and 10002110202.

It is not an unprimeable number, because it can be changed into a prime (10002110311) 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 47 ways as a sum of consecutive naturals, for example, 828841 + ... + 840821.

It is an arithmetic number, because the mean of its divisors is an integer number (325550940).

Almost surely, 210002110211 is an apocalyptic number.

10002110211 is a deficient number, since it is larger than the sum of its proper divisors (5624334909).

10002110211 is a wasteful number, since it uses less digits than its factorization.

10002110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12156 (or 12153 counting only the distinct ones).

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

Adding to 10002110211 its reverse (11201120001), we get a palindrome (21203230212).

The spelling of 10002110211 in words is "ten billion, two million, one hundred ten thousand, two hundred eleven".

Divisors: 1 3 9 23 37 69 109 111 207 327 333 851 981 2507 2553 4033 7521 7659 11981 12099 22563 35943 36297 92759 107829 275563 278277 443297 826689 834831 1305929 1329891 2480067 3917787 3989673 10195831 11753361 30036367 30587493 48319373 90109101 91762479 144958119 270327303 434874357 1111345579 3334036737 10002110211