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12016141310313 = 3273133118588091
BaseRepresentation
bin1010111011011011100111…
…0101011001100101101001
31120112201202112210121220100
42232312321311121211221
53033333024133412223
641320050014220013
72350065116621160
oct256667165314551
946481675717810
1012016141310313
113913020567188
1214209854b4609
1369216a82168a
142d78276163d7
1515c87a02b043
hexaedb9d59969

12016141310313 has 48 divisors (see below), whose sum is σ = 20537908498432. Its totient is φ = 6624795276000.

The previous prime is 12016141310309. The next prime is 12016141310339. The reversal of 12016141310313 is 31301314161021.

12016141310313 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 614 + 1 + 3 + 10 + 31 + 3 = 666.

It is not a de Polignac number, because 12016141310313 - 22 = 12016141310309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12016141311313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8647603 + ... + 9940488.

Almost surely, 212016141310313 is an apocalyptic number.

It is an amenable number.

12016141310313 is a deficient number, since it is larger than the sum of its proper divisors (8521767188119).

12016141310313 is a wasteful number, since it uses less digits than its factorization.

12016141310313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18588466 (or 18588463 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 12016141310313 its reverse (31301314161021), we get a palindrome (43317455471334).

The spelling of 12016141310313 in words is "twelve trillion, sixteen billion, one hundred forty-one million, three hundred ten thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 31 63 93 217 279 331 651 993 1953 2317 2979 6951 10261 20853 30783 71827 92349 215481 646443 18588091 55764273 130116637 167292819 390349911 576230821 1171049733 1728692463 4033615747 5186077389 6152658121 12100847241 18457974363 36302541723 43068606847 55373923089 129205820541 190732401751 387617461623 572197205253 1335126812257 1716591615759 4005380436771 12016141310313