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103200111133 = 7231214391523
BaseRepresentation
bin110000000011100110…
…1001011101000011101
3100212101012012211110021
41200013031023220131
53142323212024013
6115224240312141
710312252320400
oct1400715135035
9325335184407
10103200111133
113a848854a49
1218001612651
1399687b9a22
144dd0077d37
152a4015aa8d
hex180734ba1d

103200111133 has 36 divisors (see below), whose sum is σ = 124214290560. Its totient is φ = 85488122160.

The previous prime is 103200111089. The next prime is 103200111151. The reversal of 103200111133 is 331111002301.

It is not a de Polignac number, because 103200111133 - 233 = 94610176541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200171133) 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 35 ways as a sum of consecutive naturals, for example, 67760310 + ... + 67761832.

It is an arithmetic number, because the mean of its divisors is an integer number (3450396960).

Almost surely, 2103200111133 is an apocalyptic number.

It is an amenable number.

103200111133 is a deficient number, since it is larger than the sum of its proper divisors (21014179427).

103200111133 is a wasteful number, since it uses less digits than its factorization.

103200111133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 103200111133 its reverse (331111002301), we get a palindrome (434311113434).

The spelling of 103200111133 in words is "one hundred three billion, two hundred million, one hundred eleven thousand, one hundred thirty-three".

Divisors: 1 7 31 49 217 961 1439 1519 1523 6727 10073 10661 44609 47089 47213 70511 74627 312263 330491 1382879 1463603 2185841 2191597 2313437 9680153 10245221 15341179 67761071 67939507 71716547 107388253 475576549 2106124717 3329035843 14742873019 103200111133