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10252551105 = 34529231971
BaseRepresentation
bin10011000110001100…
…11000001111000001
3222110111222120010000
421203012120033001
5131444123113410
64413203430213
7512032150356
oct114306301701
928414876100
1010252551105
114391330435
121ba1685369
13c751140b4
146d390462d
15400147dc0
hex2631983c1

10252551105 has 120 divisors (see below), whose sum is σ = 19668489984. Its totient is φ = 5103907200.

The previous prime is 10252551083. The next prime is 10252551109. The reversal of 10252551105 is 50115525201.

10252551105 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 2 + 551 + 105 = 666.

10252551105 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10252551105 - 27 = 10252550977 is a prime.

It is a super-2 number, since 2×102525511052 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10252551109) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10558270 + ... + 10559240.

Almost surely, 210252551105 is an apocalyptic number.

10252551105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10252551105 is a deficient number, since it is larger than the sum of its proper divisors (9415938879).

10252551105 is an equidigital number, since it uses as much as digits as its factorization.

10252551105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The spelling of 10252551105 in words is "ten billion, two hundred fifty-two million, five hundred fifty-one thousand, one hundred five".

Divisors: 1 3 5 9 15 27 29 31 45 81 87 93 135 145 155 261 279 405 435 465 783 837 841 899 971 1305 1395 2349 2511 2523 2697 2913 3915 4185 4205 4495 4855 7569 8091 8739 11745 12555 12615 13485 14565 22707 24273 26071 26217 28159 30101 37845 40455 43695 68121 72819 78213 78651 84477 90303 113535 121365 130355 131085 140795 150505 234639 253431 270909 340605 364095 391065 393255 422385 451515 703917 760293 812727 816611 872929 1173195 1267155 1354545 2111751 2280879 2438181 2449833 2618787 3519585 3801465 4063635 4083055 4364645 7349499 7856361 10558755 11404395 12190905 12249165 13093935 22048497 23569083 25314941 36747495 39281805 66145491 70707249 75944823 110242485 117845415 126574705 227834469 330727455 353536245 379724115 683503407 1139172345 2050510221 3417517035 10252551105