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12315610450230 = 23513719326595839
BaseRepresentation
bin1011001100110111001110…
…0101100000100100110110
31121121100202001211011111220
42303031303211200210312
53103234332233401410
642105414025211210
72410526210406513
oct263156345404466
947540661734456
1012315610450230
113a1902603943a
12146aa21030b06
136b4484681899
1430811604c30a
15165555cc8070
hexb3373960936

12315610450230 has 128 divisors (see below), whose sum is σ = 29943860889600. Its totient is φ = 3241523625984.

The previous prime is 12315610450223. The next prime is 12315610450261. The reversal of 12315610450230 is 3205401651321.

12315610450230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×123156104502303 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12315610450191 and 12315610450200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2109195651 + ... + 2109201489.

It is an arithmetic number, because the mean of its divisors is an integer number (233936413200).

Almost surely, 212315610450230 is an apocalyptic number.

12315610450230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12315610450230 is an abundant number, since it is smaller than the sum of its proper divisors (17628250439370).

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

12315610450230 is a wasteful number, since it uses less digits than its factorization.

12315610450230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8838.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 12315610450230 in words is "twelve trillion, three hundred fifteen billion, six hundred ten million, four hundred fifty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 137 193 274 386 411 579 685 822 965 1158 1370 1930 2055 2659 2895 4110 5318 5790 5839 7977 11678 13295 15954 17517 26441 26590 29195 35034 39885 52882 58390 79323 79770 87585 132205 158646 175170 264410 364283 396615 513187 728566 793230 799943 1026374 1092849 1126927 1539561 1599886 1821415 2185698 2253854 2399829 2565935 3079122 3380781 3642830 3999715 4799658 5131870 5464245 5634635 6761562 7697805 7999430 10928490 11269270 11999145 15395610 15525901 16903905 23998290 31051802 33807810 46577703 70306619 77629505 93155406 140613238 154388999 155259010 210919857 232888515 308777998 351533095 421839714 463166997 465777030 703066190 771944995 926333994 1054599285 1543889990 2109198570 2127048437 2315834985 2996498893 4254096874 4631669970 5992997786 6381145311 8989496679 10635242185 12762290622 14982494465 17978993358 21270484370 29964988930 31905726555 44947483395 63811453110 89894966790 410520348341 821040696682 1231561045023 2052601741705 2463122090046 4105203483410 6157805225115 12315610450230