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10343601045 = 3351937731493
BaseRepresentation
bin10011010001000011…
…01101001110010101
3222200212022101011000
421220201231032111
5132140430213140
64430215133513
7514216105161
oct115041551625
928625271130
1010343601045
114428769618
122008074299
13c8ac42bbb
14701a45ca1
15408130a30
hex26886d395

10343601045 has 128 divisors (see below), whose sum is σ = 20165414400. Its totient is φ = 5011974144.

The previous prime is 10343601043. The next prime is 10343601053. The reversal of 10343601045 is 54010634301.

10343601045 is a `hidden beast` number, since 10 + 3 + 4 + 3 + 601 + 0 + 45 = 666.

It is not a de Polignac number, because 10343601045 - 21 = 10343601043 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10343601043) 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, 6927319 + ... + 6928811.

It is an arithmetic number, because the mean of its divisors is an integer number (157542300).

Almost surely, 210343601045 is an apocalyptic number.

10343601045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10343601045 is a deficient number, since it is larger than the sum of its proper divisors (9821813355).

10343601045 is a wasteful number, since it uses less digits than its factorization.

10343601045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 10343601045 in words is "ten billion, three hundred forty-three million, six hundred one thousand, forty-five".

Divisors: 1 3 5 9 15 19 27 37 45 57 73 95 111 135 171 185 219 285 333 365 513 555 657 703 855 999 1095 1387 1493 1665 1971 2109 2565 2701 3285 3515 4161 4479 4995 6327 6935 7465 8103 9855 10545 12483 13437 13505 18981 20805 22395 24309 28367 31635 37449 40311 40515 51319 55241 62415 67185 72927 85101 94905 108989 121545 141835 153957 165723 187245 201555 255303 256595 276205 326967 364635 425505 461871 497169 544945 765909 769785 828615 980901 1049579 1276515 1385613 1491507 1634835 2070791 2309355 2485845 2942703 3148737 3829545 4032593 4904505 5247895 6212373 6928065 7457535 9446211 10353955 12097779 14713515 15743685 18637119 20162965 28338633 31061865 36293337 47231055 55911357 60488895 76619267 93185595 108880011 141693165 181466685 229857801 279556785 383096335 544400055 689573403 1149289005 2068720209 3447867015 10343601045