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13230164616123 = 37131719961323369
BaseRepresentation
bin1100000010000110001101…
…0000110010001110111011
31201211210100220211111000110
43000201203100302032323
53213230334120203443
644045504223035403
72533563545510550
oct300414320621673
951753326744013
1013230164616123
11424097701a504
12159811743bb63
1374c7a34b8270
1433a4b4362a27
1517e230e00233
hexc08634323bb

13230164616123 has 128 divisors (see below), whose sum is σ = 23142357504000. Its totient is φ = 6524100329472.

The previous prime is 13230164616107. The next prime is 13230164616143. The reversal of 13230164616123 is 32161646103231.

It is not a de Polignac number, because 13230164616123 - 24 = 13230164616107 is a prime.

It is a super-2 number, since 2×132301646161232 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (13230164616103) by changing a digit.

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, 566129983 + ... + 566153351.

It is an arithmetic number, because the mean of its divisors is an integer number (180799668000).

Almost surely, 213230164616123 is an apocalyptic number.

13230164616123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13230164616123 is a deficient number, since it is larger than the sum of its proper divisors (9912192887877).

13230164616123 is a wasteful number, since it uses less digits than its factorization.

13230164616123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24221.

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 13230164616123 in words is "thirteen trillion, two hundred thirty billion, one hundred sixty-four million, six hundred sixteen thousand, one hundred twenty-three".

Divisors: 1 3 7 13 17 21 39 51 91 119 199 221 273 357 597 613 663 1393 1547 1839 2587 3383 4179 4291 4641 7761 7969 10149 10421 12873 18109 23369 23681 23907 31263 43979 54327 55783 70107 71043 72947 121987 131937 135473 163583 167349 218841 303797 307853 365961 397273 406419 490749 853909 911391 923559 948311 1191819 1585831 2073779 2126579 2561727 2780911 2844933 4650431 4757493 5164549 6221337 6379737 8342733 11100817 13951293 14325197 14516453 15493647 26959127 32553017 33302451 36151843 42975591 43549359 60455603 79057327 80877381 97659051 100276379 108455529 181366809 186227561 188713889 237171981 243528349 300829137 423189221 553401289 558682683 566141667 730585047 1027745251 1269567663 1303592927 1660203867 1704698443 2850714203 3083235753 3165868537 3910778781 5114095329 7194216757 8552142609 9497605611 19954999421 21582650271 22161079759 37059284639 48462141451 59864998263 66483239277 111177853917 145386424353 259414992473 339234990157 630007838863 778244977419 1017704970471 1890023516589 4410054872041 13230164616123