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230133000123 = 33134173439499
BaseRepresentation
bin1101011001010011111…
…1101110011110111011
3211000000100211200202000
43112110333232132323
512232303022000443
6253415512512043
722424624140215
oct3262477563673
9730010750660
10230133000123
1189665096194
12387270ab623
1318917110470
14b1d206b5b5
155ebdac08d3
hex3594fee7bb

230133000123 has 128 divisors (see below), whose sum is σ = 382905600000. Its totient is φ = 135690577920.

The previous prime is 230133000121. The next prime is 230133000127. The reversal of 230133000123 is 321000331032.

230133000123 is a `hidden beast` number, since 230 + 13 + 300 + 0 + 123 = 666.

It is not a de Polignac number, because 230133000123 - 21 = 230133000121 is a prime.

It is a super-2 number, since 2×2301330001232 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230133000096 and 230133000105.

It is not an unprimeable number, because it can be changed into a prime (230133000121) 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, 461188128 + ... + 461188626.

It is an arithmetic number, because the mean of its divisors is an integer number (2991450000).

Almost surely, 2230133000123 is an apocalyptic number.

230133000123 is a deficient number, since it is larger than the sum of its proper divisors (152772599877).

230133000123 is a wasteful number, since it uses less digits than its factorization.

230133000123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 230133000123 its reverse (321000331032), we get a palindrome (551133331155).

The spelling of 230133000123 in words is "two hundred thirty billion, one hundred thirty-three million, one hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 9 13 27 39 41 73 117 123 219 351 369 439 499 533 657 949 1107 1317 1497 1599 1971 2847 2993 3951 4491 4797 5707 6487 8541 8979 11853 13473 14391 17121 17999 19461 20459 25623 26937 32047 36427 38909 51363 53997 58383 61377 80811 96141 109281 116727 154089 161991 175149 184131 219061 233987 265967 288423 327843 350181 416611 473551 485973 552393 657183 701961 797901 865269 983529 1050543 1249833 1313927 1420653 1493507 1971549 2105883 2393703 2847793 3749499 3941781 4261959 4480521 5914647 6317649 7181109 8543379 8981501 11248497 11825343 12785877 13441563 15991453 17081051 19415591 25630137 26944503 35476029 40324689 47974359 51243153 58246773 76890411 80833509 116759513 143923077 153729459 174740319 207888889 242500527 350278539 431769231 461188377 524220957 623666667 655649573 1050835617 1871000001 1966948719 3152506851 5613000003 5900846157 8523444449 17702538471 25570333347 76711000041 230133000123