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10002132211 = 8321451899
BaseRepresentation
bin10010101000010110…
…00110110011110011
3221211001202221222011
421110023012303303
5130441021212321
64332300223351
7502601502211
oct112413066363
927731687864
1010002132211
114272a40a75
121b3183ab57
13c35285b36
146ac559cb1
153d817eae1
hex2542c6cf3

10002132211 has 6 divisors (see below), whose sum is σ = 10124098700. Its totient is φ = 9881617788.

The previous prime is 10002132193. The next prime is 10002132271. The reversal of 10002132211 is 11223120001.

10002132211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10002132211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002132191 and 10002132200.

It is not an unprimeable number, because it can be changed into a prime (10002132271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 719061 + ... + 732838.

Almost surely, 210002132211 is an apocalyptic number.

10002132211 is a deficient number, since it is larger than the sum of its proper divisors (121966489).

10002132211 is an frugal number, since it uses more digits than its factorization.

10002132211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452065 (or 1451982 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10002132211 its reverse (11223120001), we get a palindrome (21225252212).

The spelling of 10002132211 in words is "ten billion, two million, one hundred thirty-two thousand, two hundred eleven".

Divisors: 1 83 6889 1451899 120507617 10002132211