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10989383223 = 37213311031801
BaseRepresentation
bin10100011110000010…
…01010111000110111
31001100212110111202110
422033001022320313
5140001240230343
65014244342103
7536220134100
oct121701127067
931325414673
1010989383223
11472a2472a5
1221683a4933
13106197b130
147637093a7
15444b93833
hex28f04ae37

10989383223 has 96 divisors (see below), whose sum is σ = 19142602752. Its totient is φ = 5552064000.

The previous prime is 10989383213. The next prime is 10989383231. The reversal of 10989383223 is 32238398901.

It is a happy number.

10989383223 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 10989383223 - 28 = 10989382967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10989383213) 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 95 ways as a sum of consecutive naturals, for example, 6100923 + ... + 6102723.

It is an arithmetic number, because the mean of its divisors is an integer number (199402112).

Almost surely, 210989383223 is an apocalyptic number.

10989383223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10989383223 is a deficient number, since it is larger than the sum of its proper divisors (8153219529).

10989383223 is a wasteful number, since it uses less digits than its factorization.

10989383223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 10989383223 in words is "ten billion, nine hundred eighty-nine million, three hundred eighty-three thousand, two hundred twenty-three".

Divisors: 1 3 7 13 21 31 39 49 91 93 103 147 217 273 309 403 637 651 721 1209 1339 1519 1801 1911 2163 2821 3193 4017 4557 5047 5403 8463 9373 9579 12607 15141 19747 22351 23413 28119 37821 41509 55831 59241 65611 67053 70239 88249 124527 156457 163891 167493 185503 196833 264747 290563 390817 469371 491673 556509 725803 871689 1147237 1172451 1298521 2033941 2177409 2411539 2735719 3441711 3895563 5080621 5750593 6101823 7234617 8207157 9089647 15241863 16880773 17251779 27268941 35564347 40254151 50642319 74757709 106693041 118165411 120762453 224273127 281779057 354496233 523303963 845337171 1569911889 3663127741 10989383223