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10134331125 = 3531783107179
BaseRepresentation
bin10010111000000110…
…11001111011110101
3222011021112100210020
421130003121323311
5131223342044000
64353341515353
7506065251612
oct113403317365
928137470706
1010134331125
114330624a76
121b69b72b59
13c56791449
146c1d2d509
153e4a94ba0
hex25c0d9ef5

10134331125 has 128 divisors (see below), whose sum is σ = 18341406720. Its totient is φ = 4950963200.

The previous prime is 10134331049. The next prime is 10134331147. The reversal of 10134331125 is 52113343101.

10134331125 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 10134331125 - 211 = 10134329077 is a prime.

It is a super-2 number, since 2×101343311252 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10134331095 and 10134331104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56616286 + ... + 56616464.

It is an arithmetic number, because the mean of its divisors is an integer number (143292240).

Almost surely, 210134331125 is an apocalyptic number.

10134331125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10134331125 is a deficient number, since it is larger than the sum of its proper divisors (8207075595).

10134331125 is a wasteful number, since it uses less digits than its factorization.

10134331125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 10134331125 its reverse (52113343101), we get a palindrome (62247674226).

The spelling of 10134331125 in words is "ten billion, one hundred thirty-four million, three hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 83 85 107 125 179 249 255 321 375 415 425 535 537 895 1245 1275 1411 1605 1819 2075 2125 2675 2685 3043 4233 4475 5457 6225 6375 7055 8025 8881 9095 9129 10375 13375 13425 14857 15215 19153 21165 22375 26643 27285 31125 35275 40125 44405 44571 45475 45645 57459 67125 74285 76075 95765 105825 133215 136425 150977 176375 222025 222855 227375 228225 252569 287295 325601 371425 380375 452931 478825 529125 666075 682125 754885 757707 976803 1110125 1114275 1141125 1262845 1436475 1589699 1628005 1857125 2264655 2394125 3330375 3774425 3788535 4769097 4884015 5571375 6314225 7182375 7948495 8140025 11323275 18872125 18942675 23845485 24420075 27024883 31571125 39742475 40700125 56616375 81074649 94713375 119227425 122100375 135124415 198712375 405373245 596137125 675622075 2026866225 3378110375 10134331125