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110960641 = 1129536563
BaseRepresentation
bin1101001110100…
…10000000000001
321201210101101101
412213102000001
5211401220031
615002134401
72515102261
oct647220001
9251711341
10110960641
11576a8410
12311b1401
1319cb06ac
1410a457a1
159b1c361
hex69d2001

110960641 has 16 divisors (see below), whose sum is σ = 127604160. Its totient is φ = 95542720.

The previous prime is 110960639. The next prime is 110960653. The reversal of 110960641 is 146069011.

It is a cyclic number.

It is not a de Polignac number, because 110960641 - 21 = 110960639 is a prime.

It is a super-3 number, since 3×1109606413 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110960611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13626 + ... + 20188.

It is an arithmetic number, because the mean of its divisors is an integer number (7975260).

Almost surely, 2110960641 is an apocalyptic number.

110960641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110960641 is a deficient number, since it is larger than the sum of its proper divisors (16643519).

110960641 is a wasteful number, since it uses less digits than its factorization.

110960641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 110960641 is about 10533.7856917634. The cubic root of 110960641 is about 480.5327432793.

The spelling of 110960641 in words is "one hundred ten million, nine hundred sixty thousand, six hundred forty-one".

Divisors: 1 11 29 53 319 583 1537 6563 16907 72193 190327 347839 2093597 3826229 10087331 110960641