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11200416119 = 176155719391
BaseRepresentation
bin10100110111001100…
…01100100101110111
31001220120120002110122
422123212030211313
5140414301303434
65051223442155
7544361652254
oct123346144567
931816502418
1011200416119
114828385452
122206bb635b
1310965c9179
1478376042b
1545847bc2e
hex29b98c977

11200416119 has 16 divisors (see below), whose sum is σ = 12075941376. Its totient is φ = 10349606400.

The previous prime is 11200416083. The next prime is 11200416133. The reversal of 11200416119 is 91161400211.

It is a cyclic number.

It is not a de Polignac number, because 11200416119 - 216 = 11200350583 is a prime.

It is a super-2 number, since 2×112004161192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200419119) 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, 567914 + ... + 587304.

It is an arithmetic number, because the mean of its divisors is an integer number (754746336).

Almost surely, 211200416119 is an apocalyptic number.

11200416119 is a deficient number, since it is larger than the sum of its proper divisors (875525257).

11200416119 is a wasteful number, since it uses less digits than its factorization.

11200416119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20026.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 11200416119 in words is "eleven billion, two hundred million, four hundred sixteen thousand, one hundred nineteen".

Divisors: 1 17 61 557 1037 9469 19391 33977 329647 577609 1182851 10800787 20108467 183613379 658848007 11200416119