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1053166113153 = 3371113914932441
BaseRepresentation
bin11110101001101011001…
…01111001000110000001
310201200101221211210212000
433110311211321012001
5114223341011110103
62123452352454213
7136042303154250
oct17246545710601
93650357753760
101053166113153
113767108a6690
1215013b24a369
137840bc70bab
1438d8b460797
151c5de063aa3
hexf535979181

1053166113153 has 128 divisors (see below), whose sum is σ = 1961351884800. Its totient is φ = 542577139200.

The previous prime is 1053166113149. The next prime is 1053166113173. The reversal of 1053166113153 is 3513116613501.

1053166113153 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 6 + 611 + 31 + 5 + 3 = 666.

1053166113153 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 1053166113153 - 22 = 1053166113149 is a prime.

It is a super-2 number, since 2×10531661131532 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053166113173) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 431447413 + ... + 431449853.

It is an arithmetic number, because the mean of its divisors is an integer number (15323061600).

Almost surely, 21053166113153 is an apocalyptic number.

It is an amenable number.

1053166113153 is a deficient number, since it is larger than the sum of its proper divisors (908185771647).

1053166113153 is a wasteful number, since it uses less digits than its factorization.

1053166113153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 1053166113153 in words is "one trillion, fifty-three billion, one hundred sixty-six million, one hundred thirteen thousand, one hundred fifty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 139 189 231 297 417 693 973 1251 1493 1529 2079 2441 2919 3753 4479 4587 7323 8757 10451 10703 13437 13761 16423 17087 21969 26271 26851 31353 32109 40311 41283 49269 51261 65907 80553 94059 96327 114961 147807 153783 187957 207527 241659 282177 288981 339299 344883 443421 461349 563871 622581 724977 1017897 1034649 1452689 1691613 1867743 2282797 2375093 3053691 3103947 3644413 3732289 4358067 5074839 5603229 6848391 7125279 9161073 10933239 11196867 13074201 15979579 20545173 21375837 25510891 26126023 32799717 33590601 39222603 40088543 47938737 61635519 64127511 76532673 78378069 98399151 100771803 120265629 143816211 229598019 235134207 280619801 360796887 431448633 506573407 688794057 705402621 841859403 1082390661 1519720221 2525578209 3546013849 4559160663 5572307477 7576734627 10638041547 13677481989 16716922431 31914124641 39006152339 50150767293 95742373923 117018457017 150452301879 351055371051 1053166113153