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312040543113 = 3213671512391103
BaseRepresentation
bin1001000101001110001…
…00001101001110001001
31002211102122022222210100
410202213010031032021
520103024334334423
6355203251440013
731354440565515
oct4424704151611
91084378288710
10312040543113
1111037682a582
12505858b6009
132356b4ba230
14111622b5145
1581b478c343
hex48a710d389

312040543113 has 96 divisors (see below), whose sum is σ = 498430033920. Its totient is φ = 186950332800.

The previous prime is 312040543099. The next prime is 312040543121. The reversal of 312040543113 is 311345040213.

It is a happy number.

312040543113 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 4 + 0 + 543 + 113 = 666.

It is not a de Polignac number, because 312040543113 - 224 = 312023765897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312040543613) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282901120 + ... + 282902222.

It is an arithmetic number, because the mean of its divisors is an integer number (5191979520).

Almost surely, 2312040543113 is an apocalyptic number.

It is an amenable number.

312040543113 is a deficient number, since it is larger than the sum of its proper divisors (186389490807).

312040543113 is a wasteful number, since it uses less digits than its factorization.

312040543113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 312040543113 its reverse (311345040213), we get a palindrome (623385583326).

The spelling of 312040543113 in words is "three hundred twelve billion, forty million, five hundred forty-three thousand, one hundred thirteen".

Divisors: 1 3 9 13 39 67 117 151 201 239 453 603 717 871 1103 1359 1963 2151 2613 3107 3309 5889 7839 9321 9927 10117 14339 16013 17667 27963 30351 36089 43017 48039 73901 91053 108267 129051 131521 144117 166553 208169 221703 263617 324801 394563 469157 499659 624507 665109 790851 960713 1183689 1407471 1498977 1873521 2165189 2372553 2417963 2882139 3427021 4222413 6495567 7253889 8646417 10281063 11159051 17662339 19486701 21761667 30843189 31433519 33477153 39806167 52987017 94300557 100431459 119418501 145067663 158961051 229610407 282901671 358255503 435202989 517480171 688831221 1305608967 1552440513 2066493663 2667013189 4657321539 8001039567 24003118701 34671171457 104013514371 312040543113