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11300078590 = 2553611931811
BaseRepresentation
bin10101000011000100…
…11000001111111110
31002011112002110200021
422201202120033332
5141120310003330
65105143522354
7550012040353
oct124142301776
932145073607
1011300078590
114879666329
1222344593ba
1310b1152148
14792aa462a
154620b667a
hex2a18983fe

11300078590 has 64 divisors (see below), whose sum is σ = 21184483392. Its totient is φ = 4337049600.

The previous prime is 11300078567. The next prime is 11300078591. The reversal of 11300078590 is 9587000311.

It is a happy number.

11300078590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113000785902 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300078591) 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, 6238785 + ... + 6240595.

It is an arithmetic number, because the mean of its divisors is an integer number (331007553).

Almost surely, 211300078590 is an apocalyptic number.

11300078590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11300078590 is a deficient number, since it is larger than the sum of its proper divisors (9884404802).

11300078590 is a wasteful number, since it uses less digits than its factorization.

11300078590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125.

The product of its (nonzero) digits is 7560, while the sum is 34.

The spelling of 11300078590 in words is "eleven billion, three hundred million, seventy-eight thousand, five hundred ninety".

Divisors: 1 2 5 10 53 61 106 122 193 265 305 386 530 610 965 1811 1930 3233 3622 6466 9055 10229 11773 16165 18110 20458 23546 32330 51145 58865 95983 102290 110471 117730 191966 220942 349523 479915 552355 623969 699046 959830 1104710 1247938 1747615 3119845 3495230 5854963 6239690 11709926 18524719 21320903 29274815 37049438 42641806 58549630 92623595 106604515 185247190 213209030 1130007859 2260015718 5650039295 11300078590