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121310103123 = 321117314156711
BaseRepresentation
bin111000011111010100…
…1010100011001010011
3102121010022100202010100
41300332221110121103
53441420341244443
6131421252303443
711523114602016
oct1607651243123
9377108322110
10121310103123
11474a1432a80
121b616611b83
13b59374bb11
145c2b33737d
15324eede3d3
hex1c3ea54653

121310103123 has 96 divisors (see below), whose sum is σ = 214028365824. Its totient is φ = 65329920000.

The previous prime is 121310103121. The next prime is 121310103181. The reversal of 121310103123 is 321301013121.

It is not a de Polignac number, because 121310103123 - 21 = 121310103121 is a prime.

It is a super-2 number, since 2×1213101031232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121310103096 and 121310103105.

It is not an unprimeable number, because it can be changed into a prime (121310103121) 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 95 ways as a sum of consecutive naturals, for example, 2110738 + ... + 2167448.

It is an arithmetic number, because the mean of its divisors is an integer number (2229462144).

Almost surely, 2121310103123 is an apocalyptic number.

121310103123 is a deficient number, since it is larger than the sum of its proper divisors (92718262701).

121310103123 is a wasteful number, since it uses less digits than its factorization.

121310103123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56817 (or 56814 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121310103123 its reverse (321301013121), we get a palindrome (442611116244).

The spelling of 121310103123 in words is "one hundred twenty-one billion, three hundred ten million, one hundred three thousand, one hundred twenty-three".

Divisors: 1 3 9 11 17 31 33 41 51 93 99 123 153 187 279 341 369 451 527 561 697 1023 1271 1353 1581 1683 2091 3069 3813 4059 4743 5797 6273 7667 11439 13981 17391 21607 23001 41943 52173 56711 64821 69003 125829 170133 194463 237677 510399 623821 713031 964087 1758041 1871463 2139093 2325151 2892261 5274123 5614389 6975453 8676783 10604957 15822369 19338451 20926359 25576661 29886697 31814871 39527567 58015353 72079681 76729983 89660091 95444613 118582701 174046059 216239043 230189949 268980273 328753667 355748103 434803237 648717129 792876491 986261001 1225354577 1304409711 2378629473 2958783003 3676063731 3913229133 7135888419 11028191193 13478900347 40436701041 121310103123