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2102200093 = 71741521827
BaseRepresentation
bin111110101001101…
…0000011100011101
312102111122211101201
41331103100130131
513301130400333
6544333235501
7103044256150
oct17523203435
95374584351
102102200093
11989701054
124a8032b91
132766ab3a6
1415d29dc97
15c484e17d
hex7d4d071d

2102200093 has 32 divisors (see below), whose sum is σ = 2614042368. Its totient is φ = 1649356800.

The previous prime is 2102200081. The next prime is 2102200141. The reversal of 2102200093 is 3900022012.

It is a happy number.

It is not a de Polignac number, because 2102200093 - 29 = 2102199581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2102200093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102200043) 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 31 ways as a sum of consecutive naturals, for example, 2541546 + ... + 2542372.

It is an arithmetic number, because the mean of its divisors is an integer number (81688824).

Almost surely, 22102200093 is an apocalyptic number.

It is an amenable number.

2102200093 is a deficient number, since it is larger than the sum of its proper divisors (511842275).

2102200093 is a wasteful number, since it uses less digits than its factorization.

2102200093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2102200093 is about 45849.7556482038. The cubic root of 2102200093 is about 1281.0262141837.

The spelling of 2102200093 in words is "two billion, one hundred two million, two hundred thousand, ninety-three".

Divisors: 1 7 17 41 119 287 521 697 827 3647 4879 5789 8857 14059 21361 33907 61999 98413 149527 237349 363137 430867 576419 2541959 3016069 4034933 7324739 17665547 51273173 123658829 300314299 2102200093