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1100200010107 = 1122910119116253
BaseRepresentation
bin10000000000101001000…
…001111110000101111011
310220011210211102100000111
4100000221001332011323
5121011202200310412
62201231440245151
7142325660533252
oct20005101760573
93804724370014
101100200010107
11394657250600
121592869107b7
137c996367053
143b36dc8d799
151d94330d2a7
hex1002907e17b

1100200010107 has 48 divisors (see below), whose sum is σ = 1270090160640. Its totient is φ = 951067040000.

The previous prime is 1100200010089. The next prime is 1100200010131. The reversal of 1100200010107 is 7010100020011.

It is not a de Polignac number, because 1100200010107 - 211 = 1100200008059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100200010177) 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 47 ways as a sum of consecutive naturals, for example, 67683993 + ... + 67700245.

It is an arithmetic number, because the mean of its divisors is an integer number (26460211680).

Almost surely, 21100200010107 is an apocalyptic number.

1100200010107 is a deficient number, since it is larger than the sum of its proper divisors (169890150533).

1100200010107 is a wasteful number, since it uses less digits than its factorization.

1100200010107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16596 (or 16585 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 1100200010107 its reverse (7010100020011), we get a palindrome (8110300030118).

The spelling of 1100200010107 in words is "one trillion, one hundred billion, two hundred million, ten thousand, one hundred seven".

Divisors: 1 11 29 101 121 191 319 1111 2101 2929 3509 5539 12221 16253 19291 23111 32219 60929 178783 212201 354409 471337 559439 670219 1641553 1966613 2334211 3104323 5184707 6153829 18057083 34147553 47605037 57031777 67692119 90025367 198627913 313536623 375623083 523655407 990279037 3448902853 5760209477 9092562067 10893069407 37937931383 100018182737 1100200010107