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10105656055 = 5113114939779
BaseRepresentation
bin10010110100101100…
…00001001011110111
3222002021120111222121
421122112001023313
5131144021443210
64350435140411
7505266442045
oct113226011367
928067514877
1010105656055
114316419a70
121b60444707
13c50861551
146bc1c7395
153e22cd6da
hex25a5812f7

10105656055 has 32 divisors (see below), whose sum is σ = 13747968000. Its totient is φ = 7064572800.

The previous prime is 10105656007. The next prime is 10105656059. The reversal of 10105656055 is 55065650101.

10105656055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10105656055 - 27 = 10105655927 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10105656055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105656059) 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, 234156 + ... + 273934.

It is an arithmetic number, because the mean of its divisors is an integer number (429624000).

Almost surely, 210105656055 is an apocalyptic number.

10105656055 is a deficient number, since it is larger than the sum of its proper divisors (3642311945).

10105656055 is a wasteful number, since it uses less digits than its factorization.

10105656055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39975.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 10105656055 in words is "ten billion, one hundred five million, six hundred fifty-six thousand, fifty-five".

Divisors: 1 5 11 31 55 149 155 341 745 1639 1705 4619 8195 23095 39779 50809 198895 254045 437569 1233149 2187845 5927071 6165745 13564639 29635355 65197781 67823195 183739201 325988905 918696005 2021131211 10105656055