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211102102002 = 231117188148041
BaseRepresentation
bin1100010010011010101…
…0100111000111110010
3202011220001211220100110
43010212222213013302
511424314114231002
6240551242402150
721152210155221
oct3044652470762
9664801756313
10211102102002
11815896a6810
1234ab5800356
1316ba3444cbc
14a30876ccb8
155757e80e6c
hex3126aa71f2

211102102002 has 32 divisors (see below), whose sum is σ = 487679724864. Its totient is φ = 60207372800.

The previous prime is 211102101979. The next prime is 211102102007. The reversal of 211102102002 is 200201201112.

211102102002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211102102007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94072899 + ... + 94075142.

It is an arithmetic number, because the mean of its divisors is an integer number (15239991402).

Almost surely, 2211102102002 is an apocalyptic number.

211102102002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211102102002 is an abundant number, since it is smaller than the sum of its proper divisors (276577622862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211102102002 is a wasteful number, since it uses less digits than its factorization.

211102102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188148074.

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

Adding to 211102102002 its reverse (200201201112), we get a palindrome (411303303114).

The spelling of 211102102002 in words is "two hundred eleven billion, one hundred two million, one hundred two thousand, two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 188148041 376296082 564444123 1128888246 2069628451 3198516697 4139256902 6208885353 6397033394 9595550091 12417770706 19191100182 35183683667 70367367334 105551051001 211102102002