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10123134110 = 25294173107109
BaseRepresentation
bin10010110110110001…
…01100010010011110
3222010111110111100222
421123120230102132
5131213010242420
64352301521342
7505601135345
oct113330542236
928114414328
1010123134110
114325277541
121b66273252
13c54370aab
146c0656b5c
153e3ad2225
hex25b62c49e

10123134110 has 128 divisors (see below), whose sum is σ = 19938441600. Its totient is φ = 3692666880.

The previous prime is 10123134083. The next prime is 10123134167. The reversal of 10123134110 is 1143132101.

10123134110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 92872736 + ... + 92872844.

It is an arithmetic number, because the mean of its divisors is an integer number (155769075).

Almost surely, 210123134110 is an apocalyptic number.

10123134110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10123134110 is a deficient number, since it is larger than the sum of its proper divisors (9815307490).

10123134110 is a wasteful number, since it uses less digits than its factorization.

10123134110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10123134110 its reverse (1143132101), we get a palindrome (11266266211).

The spelling of 10123134110 in words is "ten billion, one hundred twenty-three million, one hundred thirty-four thousand, one hundred ten".

Divisors: 1 2 5 10 29 41 58 73 82 107 109 145 146 205 214 218 290 365 410 535 545 730 1070 1090 1189 2117 2378 2993 3103 3161 4234 4387 4469 5945 5986 6206 6322 7811 7957 8774 8938 10585 11663 11890 14965 15515 15622 15805 15914 21170 21935 22345 23326 29930 31030 31610 39055 39785 43870 44690 58315 78110 79570 86797 116630 127223 129601 173594 226519 230753 254446 259202 320251 326237 338227 433985 453038 461506 478183 636115 640502 648005 652474 676454 851399 867970 956366 1132595 1153765 1272230 1296010 1601255 1631185 1691135 1702798 2265190 2307530 2390915 3202510 3262370 3382270 4256995 4781830 8513990 9287279 9460873 13867307 18574558 18921746 24690571 27734614 34907359 46436395 47304365 49381142 69336535 69814718 92872790 94608730 123452855 138673070 174536795 246905710 349073590 1012313411 2024626822 5061567055 10123134110