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13121342124 = 22311247192271
BaseRepresentation
bin11000011100001011…
…11100101010101100
31020212110010020120020
430032011330222230
5203333030421444
610010003522140
7643105365522
oct141605745254
936773106506
1013121342124
115623723600
122662389350
131311578787
148c6914312
1551be20119
hex30e17caac

13121342124 has 72 divisors (see below), whose sum is σ = 34369004544. Its totient is φ = 3891544800.

The previous prime is 13121342099. The next prime is 13121342147. The reversal of 13121342124 is 42124312131.

13121342124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13121342094 and 13121342103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27892 + ... + 164379.

Almost surely, 213121342124 is an apocalyptic number.

It is an amenable number.

13121342124 is an abundant number, since it is smaller than the sum of its proper divisors (21247662420).

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

13121342124 is a wasteful number, since it uses less digits than its factorization.

13121342124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192347 (or 192334 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 13121342124 its reverse (42124312131), we get a palindrome (55245654255).

The spelling of 13121342124 in words is "thirteen billion, one hundred twenty-one million, three hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 121 132 141 188 242 282 363 484 517 564 726 1034 1452 1551 2068 3102 5687 6204 11374 17061 22748 34122 68244 192271 384542 576813 769084 1153626 2114981 2307252 4229962 6344943 8459924 9036737 12689886 18073474 23264791 25379772 27110211 36146948 46529582 54220422 69794373 93059164 99404107 108440844 139588746 198808214 279177492 298212321 397616428 596424642 1093445177 1192849284 2186890354 3280335531 4373780708 6560671062 13121342124