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2002122111 = 311551910993
BaseRepresentation
bin111011101010101…
…1111010101111111
312011112100100012210
41313111133111333
513100020401421
6530400231503
7100420520463
oct16725372577
95145310183
102002122111
11938166a80
1247a60b593
1325ba3b252
1414dc8c4a3
15bab81576
hex7755f57f

2002122111 has 16 divisors (see below), whose sum is σ = 2912970240. Its totient is φ = 1213077120.

The previous prime is 2002122049. The next prime is 2002122139. The reversal of 2002122111 is 1112212002.

It is not a de Polignac number, because 2002122111 - 215 = 2002089343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002122151) 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, 176631 + ... + 187623.

It is an arithmetic number, because the mean of its divisors is an integer number (182060640).

Almost surely, 22002122111 is an apocalyptic number.

2002122111 is a deficient number, since it is larger than the sum of its proper divisors (910848129).

2002122111 is a wasteful number, since it uses less digits than its factorization.

2002122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16526.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2002122111 is about 44745.0791819615. The cubic root of 2002122111 is about 1260.3665077667.

Adding to 2002122111 its reverse (1112212002), we get a palindrome (3114334113).

The spelling of 2002122111 in words is "two billion, two million, one hundred twenty-two thousand, one hundred eleven".

Divisors: 1 3 11 33 5519 10993 16557 32979 60709 120923 182127 362769 60670367 182011101 667374037 2002122111