Search a number
-
+
10125123103332 = 22327359920893079
BaseRepresentation
bin1001001101010111000001…
…0111011010101001100100
31022211221201020102110220200
42103111300113122221210
52311342223003301312
633311230051230500
72063341663232106
oct223256027325144
938757636373820
1010125123103332
11325404a037536
1211763972a8430
13585a44843a83
142700b6a1d576
1512859ea6a0dc
hex935705daa64

10125123103332 has 144 divisors (see below), whose sum is σ = 26008862880000. Its totient is φ = 3320580676608.

The previous prime is 10125123103327. The next prime is 10125123103397. The reversal of 10125123103332 is 23330132152101.

10125123103332 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 5 + 12 + 310 + 3 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10125123103296 and 10125123103305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3288443769 + ... + 3288446847.

Almost surely, 210125123103332 is an apocalyptic number.

10125123103332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10125123103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13004431440000).

10125123103332 is an abundant number, since it is smaller than the sum of its proper divisors (15883739776668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10125123103332 is a wasteful number, since it uses less digits than its factorization.

10125123103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 10125123103332 its reverse (23330132152101), we get a palindrome (33455255255433).

The spelling of 10125123103332 in words is "ten trillion, one hundred twenty-five billion, one hundred twenty-three million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 599 657 876 1198 1314 1797 2089 2396 2628 3079 3594 4178 5391 6158 6267 7188 8356 9237 10782 12316 12534 18474 18801 21564 25068 27711 36948 37602 43727 55422 75204 87454 110844 131181 152497 174908 224767 262362 304994 393543 449534 457491 524724 609988 674301 787086 899068 914982 1251311 1348602 1372473 1574172 1829964 1844321 2022903 2502622 2697204 2744946 3688642 3753933 4045806 5005244 5489892 5532963 6432031 7377284 7507866 8091612 11065926 11261799 12864062 15015732 16598889 19296093 22131852 22523598 25728124 33197778 38592186 45047196 57888279 66395556 77184372 91345703 115776558 134635433 182691406 231553116 269270866 274037109 365382812 403906299 469538263 538541732 548074218 807812598 822111327 939076526 1096148436 1211718897 1408614789 1615625196 1644222654 1878153052 2423437794 2817229578 3288445308 3852786569 4225844367 4846875588 5634459156 7705573138 8451688734 11558359707 15411146276 16903377468 23116719414 34675079121 46233438828 69350158242 138700316484 281253419537 562506839074 843760258611 1125013678148 1687520517222 2531280775833 3375041034444 5062561551666 10125123103332